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1234078982144 = 2131931255763
BaseRepresentation
bin10001111101010100110…
…101101110000000000000
311100222101002022202221022
4101331110311232000000
5130204343204412034
62342532243245012
7155105425162061
oct21752465560000
94328332282838
101234078982144
1143640845a848
1217b20a679768
138c4b0a664b8
1443a305a6568
152217b98bb2e
hex11f54d6e000

1234078982144 has 112 divisors (see below), whose sum is σ = 2681716231680. Its totient is φ = 565704622080.

The previous prime is 1234078982119. The next prime is 1234078982173. The reversal of 1234078982144 is 4412898704321.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4697207 + ... + 4952969.

Almost surely, 21234078982144 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 1234078982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340858115840).

1234078982144 is an abundant number, since it is smaller than the sum of its proper divisors (1447637249536).

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

1234078982144 is an equidigital number, since it uses as much as digits as its factorization.

1234078982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255839 (or 255815 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 1234078982144 in words is "one trillion, two hundred thirty-four billion, seventy-eight million, nine hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 992 1024 1178 1216 1984 2048 2356 2432 3968 4096 4712 4864 7936 8192 9424 9728 15872 18848 19456 31744 37696 38912 63488 75392 77824 126976 150784 155648 253952 255763 301568 511526 603136 1023052 1206272 2046104 2412544 4092208 4825088 4859497 7928653 8184416 9718994 15857306 16368832 19437988 31714612 32737664 38875976 63429224 65475328 77751952 126858448 130950656 150644407 155503904 253716896 261901312 301288814 311007808 507433792 523802624 602577628 622015616 1014867584 1047605248 1205155256 1244031232 2029735168 2095210496 2410310512 2488062464 4059470336 4820621024 4976124928 8118940672 9641242048 9952249856 16237881344 19282484096 19904499712 32475762688 38564968192 39808999424 64951525376 77129936384 154259872768 308519745536 617039491072 1234078982144