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152211014504240 = 2452924377751679
BaseRepresentation
bin100010100110111101100011…
…011100110100111100110000
3201221221020020022100010012112
4202212331203130310330300
5124422311124203113430
61255420435202144452
744026611556020626
oct4246754334647460
9657836208303175
10152211014504240
114455436861130a
12150a3620952128
1366c158b354883
1429830a3b55516
15128e557838195
hex8a6f63734f30

152211014504240 has 120 divisors (see below), whose sum is σ = 366529995162240. Its totient is φ = 58782463229952.

The previous prime is 152211014504221. The next prime is 152211014504299. The reversal of 152211014504240 is 42405410112251.

It is a junction number, because it is equal to n+sod(n) for n = 152211014504197 and 152211014504206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2945290721 + ... + 2945342399.

It is an arithmetic number, because the mean of its divisors is an integer number (3054416626352).

Almost surely, 2152211014504240 is an apocalyptic number.

152211014504240 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 152211014504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183264997581120).

152211014504240 is an abundant number, since it is smaller than the sum of its proper divisors (214318980658000).

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

152211014504240 is a wasteful number, since it uses less digits than its factorization.

152211014504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95527 (or 95492 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 152211014504240 its reverse (42405410112251), we get a palindrome (194616424616491).

The spelling of 152211014504240 in words is "one hundred fifty-two trillion, two hundred eleven billion, fourteen million, five hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 841 1160 1682 2320 3364 4205 6728 8410 13456 16820 33640 43777 51679 67280 87554 103358 175108 206716 218885 258395 350216 413432 437770 516790 700432 826864 875540 1033580 1269533 1498691 1751080 2067160 2539066 2997382 3502160 4134320 5078132 5994764 6347665 7493455 10156264 11989528 12695330 14986910 20312528 23979056 25390660 29973820 36816457 43462039 50781320 59947640 73632914 86924078 101562640 119895280 147265828 173848156 184082285 217310195 294531656 347696312 368164570 434620390 589063312 695392624 736329140 869240780 1472658280 1738481560 2262351583 2945316560 3476963120 4524703166 9049406332 11311757915 18098812664 22623515830 36197625328 45247031660 65608195907 90494063320 131216391814 180988126640 262432783628 328040979535 524865567256 656081959070 1049731134512 1312163918140 1902637681303 2624327836280 3805275362606 5248655672560 7610550725212 9513188406515 15221101450424 19026376813030 30442202900848 38052753626060 76105507252120 152211014504240