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1354037717240 = 2351331731150649
BaseRepresentation
bin10011101101000010111…
…011111110100011111000
311210110000012211220121222
4103231002323332203320
5134141032123422430
62514011503251212
7166553213460455
oct23550273764370
94713005756558
101354037717240
11482275a9aa3a
1219a5085a9b08
139a8ba533360
144977024a82c
152534cee09e5
hex13b42efe8f8

1354037717240 has 128 divisors (see below), whose sum is σ = 3433171392000. Its totient is φ = 477196738560.

The previous prime is 1354037717237. The next prime is 1354037717281. The reversal of 1354037717240 is 427177304531.

It is a junction number, because it is equal to n+sod(n) for n = 1354037717191 and 1354037717200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601436 + ... + 1752084.

It is an arithmetic number, because the mean of its divisors is an integer number (26821651500).

Almost surely, 21354037717240 is an apocalyptic number.

1354037717240 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 1354037717240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716585696000).

1354037717240 is an abundant number, since it is smaller than the sum of its proper divisors (2079133674760).

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

1354037717240 is a wasteful number, since it uses less digits than its factorization.

1354037717240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150777 (or 1150773 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 1354037717240 in words is "one trillion, three hundred fifty-four billion, thirty-seven million, seven hundred seventeen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 73 104 124 130 146 155 248 260 292 310 365 403 520 584 620 730 806 949 1240 1460 1612 1898 2015 2263 2920 3224 3796 4030 4526 4745 7592 8060 9052 9490 11315 16120 18104 18980 22630 29419 37960 45260 58838 90520 117676 147095 235352 294190 588380 1150649 1176760 2301298 4602596 5753245 9205192 11506490 14958437 23012980 29916874 35670119 46025960 59833748 71340238 74792185 83997377 119667496 142680476 149584370 167994754 178350595 285360952 299168740 335989508 356701190 419986885 463711547 598337480 671979016 713402380 839973770 927423094 1091965901 1426804760 1679947540 1854846188 2183931802 2318557735 2603918687 3359895080 3709692376 4367863604 4637115470 5207837374 5459829505 8735727208 9274230940 10415674748 10919659010 13019593435 18548461880 20831349496 21839318020 26039186870 33850942931 43678636040 52078373740 67701885862 104156747480 135403771724 169254714655 270807543448 338509429310 677018858620 1354037717240