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142732401234112 = 2631791934718419
BaseRepresentation
bin100000011101000001111010…
…000100101101000011000000
3200201101002021110020000122001
4200131001322010231003000
5122202011424203442422
61223322205424153344
742031034650413064
oct4035017204550300
9621332243200561
10142732401234112
114152a52051a458
12140125b4468854
1361847b9105381
1427363dc38baa4
151177be5db7227
hex81d07a12d0c0

142732401234112 has 112 divisors (see below), whose sum is σ = 297606225817600. Its totient is φ = 67836506849280.

The previous prime is 142732401234089. The next prime is 142732401234113. The reversal of 142732401234112 is 211432104237241.

It is not an unprimeable number, because it can be changed into a prime (142732401234113) 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, 27890839 + ... + 32609257.

It is an arithmetic number, because the mean of its divisors is an integer number (2657198444800).

Almost surely, 2142732401234112 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 142732401234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148803112908800).

142732401234112 is an abundant number, since it is smaller than the sum of its proper divisors (154873824583488).

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

142732401234112 is a wasteful number, since it uses less digits than its factorization.

142732401234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718734 (or 4718724 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 142732401234112 in words is "one hundred forty-two trillion, seven hundred thirty-two billion, four hundred one million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 158 193 248 316 386 496 632 772 992 1264 1544 1984 2449 2528 3088 4898 5056 5983 6176 9796 11966 12352 15247 19592 23932 30494 39184 47864 60988 78368 95728 121976 156736 191456 243952 382912 472657 487904 945314 975808 1890628 3781256 4718419 7562512 9436838 15125024 18873676 30250048 37747352 75494704 146270989 150989408 292541978 301978816 372755101 585083956 745510202 910654867 1170167912 1491020404 1821309734 2340335824 2982040808 3642619468 4680671648 5964081616 7285238936 9361343296 11555408131 11928163232 14570477872 23110816262 23856326464 28230300877 29140955744 46221632524 56460601754 58281911488 71941734493 92443265048 112921203508 143883468986 184886530096 225842407016 287766937972 369773060192 451684814032 575533875944 739546120384 903369628064 1151067751888 1806739256128 2230193769283 2302135503776 4460387538566 4604271007552 8920775077132 17841550154264 35683100308528 71366200617056 142732401234112