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20312460145024 = 272340960128069
BaseRepresentation
bin1001001111001010111001…
…11110001011000110000000
32122220212000021100111001121
410213211130332023012000
510130244404244120044
6111111225415242024
74164345461312545
oct447453476130600
978825007314047
1020312460145024
116521514230753
122340835979314
13b445c26b6708
145031b215abcc
152535913a9984
hex12795cf8b180

20312460145024 has 128 divisors (see below), whose sum is σ = 42400812888000. Its totient is φ = 9674433331200.

The previous prime is 20312460144979. The next prime is 20312460145049. The reversal of 20312460145024 is 42054106421302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×203124601450242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723647662 + ... + 723675730.

Almost surely, 220312460145024 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 20312460145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200406444000).

20312460145024 is an abundant number, since it is smaller than the sum of its proper divisors (22088352742976).

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

20312460145024 is a wasteful number, since it uses less digits than its factorization.

20312460145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29104 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 20312460145024 its reverse (42054106421302), we get a palindrome (62366566566326).

The spelling of 20312460145024 in words is "twenty trillion, three hundred twelve billion, four hundred sixty million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 409 601 736 818 1202 1472 1636 2404 2944 3272 4808 6544 9407 9616 13088 13823 18814 19232 26176 27646 28069 37628 38464 52352 55292 56138 75256 76928 110584 112276 150512 221168 224552 245809 301024 442336 449104 491618 602048 645587 884672 898208 983236 1204096 1291174 1769344 1796416 1966472 2582348 3592832 3932944 5164696 5653607 7865888 10329392 11307214 11480221 15731776 16869469 20658784 22614428 22960442 31463552 33738938 41317568 45228856 45920884 67477876 82635136 90457712 91841768 134955752 180915424 183683536 264045083 269911504 361830848 367367072 387997787 528090166 539823008 723661696 734734144 775995574 1056180332 1079646016 1469468288 1551991148 2112360664 2159292032 3103982296 4224721328 6207964592 6899612821 8449442656 12415929184 13799225642 16898885312 24831858368 27598451284 33797770624 49663716736 55196902568 110393805136 158691094883 220787610272 317382189766 441575220544 634764379532 883150441088 1269528759064 2539057518128 5078115036256 10156230072512 20312460145024