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31421040001400 = 2352725938655457
BaseRepresentation
bin1110010010011110001111…
…11011011000000101111000
311010020211012022011100221002
413021033013323120011320
513104300242220021100
6150454343154104132
76422044443166220
oct711170773300570
9133224168140832
1031421040001400
11a014651a32855
12363573687b048
13146bcb702529a
147a8b0203d080
153975001382d5
hex1c93c7ed8178

31421040001400 has 96 divisors (see below), whose sum is σ = 83522399953440. Its totient is φ = 10768772136960.

The previous prime is 31421040001349. The next prime is 31421040001409. The reversal of 31421040001400 is 410004012413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421040001409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697529 + ... + 7957928.

It is an arithmetic number, because the mean of its divisors is an integer number (870024999515).

Almost surely, 231421040001400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31421040001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41761199976720).

31421040001400 is an abundant number, since it is smaller than the sum of its proper divisors (52101359952040).

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

31421040001400 is a wasteful number, since it uses less digits than its factorization.

31421040001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658073 (or 8658064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31421040001400 its reverse (410004012413), we get a palindrome (31831044013813).

The spelling of 31421040001400 in words is "thirty-one trillion, four hundred twenty-one billion, forty million, one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2593 5186 10372 12965 18151 20744 25930 36302 51860 64825 72604 90755 103720 129650 145208 181510 259300 363020 453775 518600 726040 907550 1815100 3630200 8655457 17310914 34621828 43277285 60588199 69243656 86554570 121176398 173109140 216386425 242352796 302940995 346218280 432772850 484705592 605881990 865545700 1211763980 1514704975 1731091400 2423527960 3029409950 6058819900 12117639800 22443600001 44887200002 89774400004 112218000005 157105200007 179548800008 224436000010 314210400014 448872000020 561090000025 628420800028 785526000035 897744000040 1122180000050 1256841600056 1571052000070 2244360000100 3142104000140 3927630000175 4488720000200 6284208000280 7855260000350 15710520000700 31421040001400