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2341202953040 = 2457157199133813
BaseRepresentation
bin100010000100011010100…
…100100000001101010000
322021211001110101202112222
4202010122210200031100
5301324240423444130
64551311144240212
7331101122516060
oct42043244401520
98254043352488
102341202953040
11822998039596
123198a8170068
1313ca0b731b63
1481459c5b3a0
1540d77a93ce5
hex2211a920350

2341202953040 has 160 divisors (see below), whose sum is σ = 6292041331200. Its totient is φ = 793571530752.

The previous prime is 2341202953031. The next prime is 2341202953049. The reversal of 2341202953040 is 403592021432.

It is an interprime number because it is at equal distance from previous prime (2341202953031) and next prime (2341202953049).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341202953049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17429174 + ... + 17562986.

It is an arithmetic number, because the mean of its divisors is an integer number (39325258320).

Almost surely, 22341202953040 is an apocalyptic number.

2341202953040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341202953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146020665600).

2341202953040 is an abundant number, since it is smaller than the sum of its proper divisors (3950838378160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2341202953040 is a wasteful number, since it uses less digits than its factorization.

2341202953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134189 (or 134183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 2341202953040 its reverse (403592021432), we get a palindrome (2744794974472).

The spelling of 2341202953040 in words is "two trillion, three hundred forty-one billion, two hundred two million, nine hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 199 280 314 398 560 628 785 796 995 1099 1256 1393 1570 1592 1990 2198 2512 2786 3140 3184 3980 4396 5495 5572 6280 6965 7960 8792 10990 11144 12560 13930 15920 17584 21980 22288 27860 31243 43960 55720 62486 87920 111440 124972 133813 156215 218701 249944 267626 312430 437402 499888 535252 624860 669065 874804 936691 1070504 1093505 1249720 1338130 1749608 1873382 2141008 2187010 2499440 2676260 3499216 3746764 4374020 4683455 5352520 7493528 8748040 9366910 10705040 14987056 17496080 18733820 21008641 26628787 37467640 42017282 53257574 74935280 84034564 105043205 106515148 133143935 147060487 168069128 186401509 210086410 213030296 266287870 294120974 336138256 372803018 420172820 426060592 532575740 588241948 735302435 745606036 840345640 932007545 1065151480 1176483896 1470604870 1491212072 1680691280 1864015090 2130302960 2352967792 2941209740 2982424144 3728030180 4180719559 5882419480 7456060360 8361439118 11764838960 14912120720 16722878236 20903597795 29265036913 33445756472 41807195590 58530073826 66891512944 83614391180 117060147652 146325184565 167228782360 234120295304 292650369130 334457564720 468240590608 585300738260 1170601476520 2341202953040