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1231432455552 = 27313384764123
BaseRepresentation
bin10001111010110111000…
…110000001010110000000
311100201112122102021221220
4101322313012001112000
5130133433202034202
62341413503115040
7154653021111105
oct21726706012600
94321478367856
101231432455552
1143527a577192
1217a7b02a2a80
138c17b683130
144385ccd2aac
152207446aabc
hex11eb7181580

1231432455552 has 128 divisors (see below), whose sum is σ = 3523577890560. Its totient is φ = 378797893632.

The previous prime is 1231432455527. The next prime is 1231432455553. The reversal of 1231432455552 is 2555542341321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231432455553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19172163 + ... + 19236285.

It is an arithmetic number, because the mean of its divisors is an integer number (27527952270).

Almost surely, 21231432455552 is an apocalyptic number.

1231432455552 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 1231432455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761788945280).

1231432455552 is an abundant number, since it is smaller than the sum of its proper divisors (2292145435008).

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

1231432455552 is a wasteful number, since it uses less digits than its factorization.

1231432455552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68000 (or 67988 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

Adding to 1231432455552 its reverse (2555542341321), we get a palindrome (3786974796873).

The spelling of 1231432455552 in words is "one trillion, two hundred thirty-one billion, four hundred thirty-two million, four hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 3847 4992 7694 11541 15388 23082 30776 46164 50011 61552 64123 92328 100022 123104 128246 150033 184656 192369 200044 246208 256492 300066 369312 384738 400088 492416 512984 600132 738624 769476 800176 833599 1025968 1200264 1477248 1538952 1600352 1667198 2051936 2400528 2500797 3077904 3200704 3334396 4103872 4801056 5001594 6155808 6401408 6668792 8207744 9602112 10003188 12311616 13337584 19204224 20006376 24623232 26675168 40012752 53350336 80025504 106700672 160051008 246681181 320102016 493362362 740043543 986724724 1480087086 1973449448 2960174172 3206855353 3946898896 5920348344 6413710706 7893797792 9620566059 11840696688 12827421412 15787595584 19241132118 23681393376 25654842824 31575191168 38482264236 47362786752 51309685648 76964528472 94725573504 102619371296 153929056944 205238742592 307858113888 410477485184 615716227776 1231432455552