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2115464197440 = 263511200328049
BaseRepresentation
bin11110110010001011011…
…111011111010101000000
321111020101100002211002010
4132302023133133111000
5234124432313304230
64255455243252520
7305560113663216
oct36621337372500
97436340084063
102115464197440
11746188431350
122a1ba881a140
13124644b1aaa9
147456364acb6
153a064b719b0
hex1ec8b7df540

2115464197440 has 112 divisors (see below), whose sum is σ = 7327198756800. Its totient is φ = 512839802880.

The previous prime is 2115464197421. The next prime is 2115464197447. The reversal of 2115464197440 is 447914645112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2115464197440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115464197447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100153465 + ... + 100174584.

Almost surely, 22115464197440 is an apocalyptic number.

2115464197440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115464197440 is an abundant number, since it is smaller than the sum of its proper divisors (5211734559360).

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

2115464197440 is a wasteful number, since it uses less digits than its factorization.

2115464197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200328080 (or 200328070 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2115464197440 in words is "two trillion, one hundred fifteen billion, four hundred sixty-four million, one hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 200328049 400656098 600984147 801312196 1001640245 1201968294 1602624392 2003280490 2203608539 2403936588 3004920735 3205248784 4006560980 4407217078 4807873176 6009841470 6410497568 6610825617 8013121960 8814434156 9615746352 11018042695 12019682940 12820995136 13221651234 16026243920 17628868312 19231492704 22036085390 24039365880 26443302468 32052487840 33054128085 35257736624 38462985408 44072170780 48078731760 52886604936 64104975680 66108256170 70515473248 88144341560 96157463520 105773209872 132216512340 141030946496 176288683120 192314927040 211546419744 264433024680 352577366240 423092839488 528866049360 705154732480 1057732098720 2115464197440