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10332141414420 = 2235733569732829
BaseRepresentation
bin1001011001011010001110…
…0111100110100000010100
31100120202001200220022021210
42112112203213212200110
52323240211200230140
633550304212141420
72114321044651350
oct226264347464024
940522050808253
1010332141414420
113323922519731
1211aa531307870
1359c416baa637
1427a114c66460
1512db69223d80
hex965a39e6814

10332141414420 has 96 divisors (see below), whose sum is σ = 33063882566400. Its totient is φ = 2361558749184.

The previous prime is 10332141414269. The next prime is 10332141414437. The reversal of 10332141414420 is 2441414123301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13732566 + ... + 14465394.

It is an arithmetic number, because the mean of its divisors is an integer number (344415443400).

Almost surely, 210332141414420 is an apocalyptic number.

10332141414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332141414420 is an abundant number, since it is smaller than the sum of its proper divisors (22731741151980).

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

10332141414420 is a wasteful number, since it uses less digits than its factorization.

10332141414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766417 (or 766415 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10332141414420 its reverse (2441414123301), we get a palindrome (12773555537721).

The spelling of 10332141414420 in words is "ten trillion, three hundred thirty-two billion, one hundred forty-one million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 33569 67138 100707 134276 167845 201414 234983 335690 402828 469966 503535 671380 704949 732829 939932 1007070 1174915 1409898 1465658 2014140 2198487 2349830 2819796 2931316 3524745 3664145 4396974 4699660 5129803 7049490 7328290 8793948 10259606 10992435 14098980 14656580 15389409 20519212 21984870 25649015 30778818 43969740 51298030 61557636 76947045 102596060 153894090 307788180 24600336701 49200673402 73801010103 98401346804 123001683505 147602020206 172202356907 246003367010 295204040412 344404713814 369005050515 492006734020 516607070721 688809427628 738010101030 861011784535 1033214141442 1476020202060 1722023569070 2066428282884 2583035353605 3444047138140 5166070707210 10332141414420