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1140002435320 = 2357227118115187
BaseRepresentation
bin10000100101101101011…
…100001011000011111000
311000222112201201000212021
4100211231130023003320
5122134211110412240
62231413200324224
7145235215550260
oct20455534130370
94028481630767
101140002435320
113aa5217227a1
12164b34613674
138366a501148
143d26810a7a0
151e9c27b954a
hex1096d70b0f8

1140002435320 has 128 divisors (see below), whose sum is σ = 2947035778560. Its totient is φ = 388781038080.

The previous prime is 1140002435239. The next prime is 1140002435323. The reversal of 1140002435320 is 235342000411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140002435323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75056767 + ... + 75071953.

It is an arithmetic number, because the mean of its divisors is an integer number (23023717020).

Almost surely, 21140002435320 is an apocalyptic number.

1140002435320 is a gapful number since it is divisible by the number (10) 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 1140002435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473517889280).

1140002435320 is an abundant number, since it is smaller than the sum of its proper divisors (1807033343240).

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

1140002435320 is a wasteful number, since it uses less digits than its factorization.

1140002435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1140002435320 its reverse (235342000411), we get a palindrome (1375344435731).

The spelling of 1140002435320 in words is "one trillion, one hundred forty billion, two million, four hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 227 280 454 908 1135 1181 1589 1816 2270 2362 3178 4540 4724 5905 6356 7945 8267 9080 9448 11810 12712 15187 15890 16534 23620 30374 31780 33068 41335 47240 60748 63560 66136 75935 82670 106309 121496 151870 165340 212618 268087 303740 330680 425236 531545 536174 607480 850472 1063090 1072348 1340435 1876609 2126180 2144696 2680870 3447449 3753218 4252360 5361740 6894898 7506436 9383045 10723480 13789796 15012872 17237245 17935847 18766090 24132143 27579592 34474490 35871694 37532180 48264286 68948980 71743388 75064360 89679235 96528572 120660715 125550929 137897960 143486776 179358470 193057144 241321430 251101858 358716940 482642860 502203716 627754645 717433880 965285720 1004407432 1255509290 2511018580 4071437269 5022037160 8142874538 16285749076 20357186345 28500060883 32571498152 40714372690 57000121766 81428745380 114000243532 142500304415 162857490760 228000487064 285000608830 570001217660 1140002435320