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355214223104440 = 23572335444730581
BaseRepresentation
bin101000011000100001100000…
…1100101100101100110111000
31201120201010222221210020020111
41100301003001211211212320
5333024312212103320230
63255251054502434104
7134551244405262220
oct12061030145454670
91646633887706214
10355214223104440
11a3200562588137
1233a0aa90732934
1312328732b0383b
1463a0662859080
152b0ee0cb6792a
hex14310c19659b8

355214223104440 has 64 divisors (see below), whose sum is σ = 917328208455360. Its totient is φ = 121265039477760.

The previous prime is 355214223104401. The next prime is 355214223104441. The reversal of 355214223104440 is 44401322412553.

It is a super-2 number, since 2×3552142231044402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 355214223104393 and 355214223104402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355214223104441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722300051 + ... + 2722430530.

It is an arithmetic number, because the mean of its divisors is an integer number (14333253257115).

Almost surely, 2355214223104440 is an apocalyptic number.

It is an amenable number.

355214223104440 is an abundant number, since it is smaller than the sum of its proper divisors (562113985350920).

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

355214223104440 is a wasteful number, since it uses less digits than its factorization.

355214223104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444730832 (or 5444730828 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 355214223104440 its reverse (44401322412553), we get a palindrome (399615545516993).

The spelling of 355214223104440 in words is "three hundred fifty-five trillion, two hundred fourteen billion, two hundred twenty-three million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 8155 9320 13048 16310 32620 65240 5444730581 10889461162 21778922324 27223652905 38113114067 43557844648 54447305810 76226228134 108894611620 152452456268 190565570335 217789223240 304904912536 381131140670 762262281340 1268622225373 1524524562680 2537244450746 5074488901492 6343111126865 8880355577611 10148977802984 12686222253730 17760711155222 25372444507460 35521422310444 44401777888055 50744889014920 71042844620888 88803555776110 177607111552220 355214223104440