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1430945018112 = 2839735295443
BaseRepresentation
bin10100110100101010111…
…110000011000100000000
312001210112000111120222210
4110310222332003010000
5141421033411034422
63013211141502120
7205245102652521
oct24645276030400
95053460446883
101430945018112
11501951181425
121b13b0711940
13a4c259c828c
144d38836c848
152734ec0910c
hex14d2af83100

1430945018112 has 144 divisors (see below), whose sum is σ = 3849459803840. Its totient is φ = 471843864576.

The previous prime is 1430945018093. The next prime is 1430945018119. The reversal of 1430945018112 is 2118105490341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1430945018119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262893663 + ... + 262899105.

Almost surely, 21430945018112 is an apocalyptic number.

1430945018112 is a gapful number since it is divisible by the number (12) 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 1430945018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924729901920).

1430945018112 is an abundant number, since it is smaller than the sum of its proper divisors (2418514785728).

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

1430945018112 is an equidigital number, since it uses as much as digits as its factorization.

1430945018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 1430945018112 in words is "one trillion, four hundred thirty billion, nine hundred forty-five million, eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 582 768 776 1164 1552 2328 3104 3529 4656 5443 6208 7058 9312 10587 10886 12416 14116 16329 18624 21174 21772 24832 28232 32658 37248 42348 43544 56464 65316 74496 84696 87088 112928 130632 169392 174176 225856 261264 338784 342313 348352 451712 522528 527971 677568 684626 696704 903424 1026939 1045056 1055942 1355136 1369252 1393408 1583913 2053878 2090112 2111884 2710272 2738504 3167826 4107756 4180224 4223768 5477008 6335652 8215512 8447536 10954016 12671304 16431024 16895072 19208347 21908032 25342608 32862048 33790144 38416694 43816064 50685216 57625041 65724096 67580288 76833388 87632128 101370432 115250082 131448192 135160576 153666776 202740864 230500164 262896384 307333552 405481728 461000328 614667104 922000656 1229334208 1844001312 1863209659 2458668416 3688002624 3726419318 4917336832 5589628977 7376005248 7452838636 11179257954 14752010496 14905677272 22358515908 29811354544 44717031816 59622709088 89434063632 119245418176 178868127264 238490836352 357736254528 476981672704 715472509056 1430945018112