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2254153434340 = 2251973537572141
BaseRepresentation
bin100000110011010110000…
…000111100010011100100
321222111100211101000212211
4200303112000330103210
5243413001234344330
64443313243053204
7321600011023603
oct40632600742344
97874324330784
102254153434340
11799a879367a5
12304a53511204
13134747c76b02
147b15cb55a3a
153d980778d2a
hex20cd603c4e4

2254153434340 has 96 divisors (see below), whose sum is σ = 4779763569504. Its totient is φ = 892944138240.

The previous prime is 2254153434317. The next prime is 2254153434361. The reversal of 2254153434340 is 434343514522.

It can be written as a sum of positive squares in 16 ways, for example, as 53369316324 + 2200784118016 = 231018^2 + 1483504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2254153434293 and 2254153434302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052849670 + ... + 1052851810.

It is an arithmetic number, because the mean of its divisors is an integer number (49789203849).

Almost surely, 22254153434340 is an apocalyptic number.

2254153434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254153434340 is an abundant number, since it is smaller than the sum of its proper divisors (2525610135164).

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

2254153434340 is a wasteful number, since it uses less digits than its factorization.

2254153434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 2254153434340 its reverse (434343514522), we get a palindrome (2688496948862).

The spelling of 2254153434340 in words is "two trillion, two hundred fifty-four billion, one hundred fifty-three million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 197 353 394 706 757 788 985 1412 1514 1765 1970 2141 3028 3530 3785 3940 4282 7060 7570 8564 10705 15140 21410 42820 69541 139082 149129 267221 278164 298258 347705 421777 534442 596516 695410 745645 755773 843554 1068884 1336105 1390820 1491290 1511546 1620737 1687108 2108885 2672210 2982580 3023092 3241474 3778865 4217770 5344420 6482948 7557730 8103685 8435540 15115460 16207370 32414740 52642537 105285074 148887281 210570148 263212685 297774562 319285189 526425370 572120161 595549124 638570378 744436405 1052850740 1144240322 1277140756 1488872810 1596425945 2288480644 2860600805 2977745620 3192851890 5721201610 6385703780 11442403220 112707671717 225415343434 450830686868 563538358585 1127076717170 2254153434340