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400665135022131 = 371732511250327611
BaseRepresentation
bin101101100011001110001111…
…1000011000000000000110011
31221112122012202011011010111010
41123012130133003000000303
5410003444144031202011
63540051004430522003
7150252046361221140
oct13306343703000063
91845565664133433
10400665135022131
111067341474463a1
1238b2b707066303
131427473874a675
1470d242034d3c7
15314c3464271a6
hex16c671f0c0033

400665135022131 has 64 divisors (see below), whose sum is σ = 646725298692096. Its totient is φ = 215392457280000.

The previous prime is 400665135022121. The next prime is 400665135022151. The reversal of 400665135022131 is 131220531566004.

It is a happy number.

It is not a de Polignac number, because 400665135022131 - 215 = 400665134989363 is a prime.

It is a super-2 number, since 2×4006651350221312 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400665135022131.

It is not an unprimeable number, because it can be changed into a prime (400665135022121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14511055516 + ... + 14511083126.

It is an arithmetic number, because the mean of its divisors is an integer number (10105082792064).

Almost surely, 2400665135022131 is an apocalyptic number.

400665135022131 is a deficient number, since it is larger than the sum of its proper divisors (246060163669965).

400665135022131 is a wasteful number, since it uses less digits than its factorization.

400665135022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43392.

The product of its (nonzero) digits is 129600, while the sum is 39.

Adding to 400665135022131 its reverse (131220531566004), we get a palindrome (531885666588135).

The spelling of 400665135022131 in words is "four hundred trillion, six hundred sixty-five billion, one hundred thirty-five million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 3251 9753 12503 22757 27611 37509 55267 68271 82833 87521 165801 193277 212551 262563 386869 469387 579831 637653 1160607 1408161 1487857 3285709 4463571 9857127 40647253 89763361 121941759 269290083 284530771 345220333 628343527 691003301 853592313 1035660999 1525977137 1885030581 2073009903 2416542331 4577931411 4837023107 5868745661 7249626993 10681839959 14511069321 17606236983 32045519877 41081219627 123243658881 1122311302583 3366933907749 7856179118081 19079292143911 23568537354243 57237876431733 133555045007377 400665135022131