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2145734667024 = 2431310334796211
BaseRepresentation
bin11111001110010111110…
…000001010101100010000
321121010111221022222222020
4133032113300022230100
5240123431033321044
64321423100411440
7311011206510144
oct37162760125420
97533457288866
102145734667024
1175800130a163
122a7a36246b80
1312745a241660
1475bd597d224
153ac373c4a19
hex1f397c0ab10

2145734667024 has 160 divisors (see below), whose sum is σ = 6044933766144. Its totient is φ = 651925117440.

The previous prime is 2145734666903. The next prime is 2145734667047. The reversal of 2145734667024 is 4207664375412.

It is a super-2 number, since 2×21457346670242 (a number of 25 digits) contains 22 as substring.

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, 22254279 + ... + 22350489.

Almost surely, 22145734667024 is an apocalyptic number.

2145734667024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145734667024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022466883072).

2145734667024 is an abundant number, since it is smaller than the sum of its proper divisors (3899199099120).

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

2145734667024 is a wasteful number, since it uses less digits than its factorization.

2145734667024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96685 (or 96679 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 2145734667024 in words is "two trillion, one hundred forty-five billion, seven hundred thirty-four million, six hundred sixty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 347 412 618 624 694 824 1041 1236 1339 1388 1648 2082 2472 2678 2776 4017 4164 4511 4944 5356 5552 8034 8328 9022 10712 13533 16068 16656 18044 21424 27066 32136 35741 36088 54132 64272 71482 72176 96211 107223 108264 142964 192422 214446 216528 285928 288633 384844 428892 464633 571856 577266 769688 857784 929266 1154532 1250743 1393899 1539376 1715568 1858532 2309064 2501486 2787798 3717064 3752229 4618128 5002972 5575596 7434128 7504458 9909733 10005944 11151192 15008916 19819466 20011888 22302384 29729199 30017832 33385217 39638932 59458398 60035664 66770434 79277864 100155651 118916796 128826529 133540868 158555728 200311302 237833592 257653058 267081736 386479587 400622604 434007821 475667184 515306116 534163472 772959174 801245208 868015642 1030612232 1302023463 1545918348 1602490416 1736031284 2061224464 2604046926 3091836696 3438677351 3472062568 5208093852 6183673392 6877354702 6944125136 10316032053 10416187704 13754709404 20632064106 20832375408 27509418808 41264128212 44702805563 55018837616 82528256424 89405611126 134108416689 165056512848 178811222252 268216833378 357622444504 536433666756 715244889008 1072867333512 2145734667024