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1146155026324 = 227116417577669
BaseRepresentation
bin10000101011011100001…
…010011100011110010100
311001120102111220001001011
4100223130022130132110
5122234311141320244
62234311503542004
7145543534656340
oct20533412343624
94046374801034
101146155026324
114020996a5450
12166170bba904
138410b095239
143d68d2ba620
151ec329e4434
hex10adc29c794

1146155026324 has 96 divisors (see below), whose sum is σ = 2508238736640. Its totient is φ = 445210214400.

The previous prime is 1146155026259. The next prime is 1146155026369. The reversal of 1146155026324 is 4236205516411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149449162 + ... + 149456830.

It is an arithmetic number, because the mean of its divisors is an integer number (26127486840).

Almost surely, 21146155026324 is an apocalyptic number.

1146155026324 is a gapful number since it is divisible by the number (14) 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 1146155026324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254119368320).

1146155026324 is an abundant number, since it is smaller than the sum of its proper divisors (1362083710316).

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

1146155026324 is a wasteful number, since it uses less digits than its factorization.

1146155026324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1146155026324 in words is "one trillion, one hundred forty-six billion, one hundred fifty-five million, twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 641 757 1282 1514 2564 3028 4487 5299 7051 7669 8327 8974 10598 14102 15338 16654 17948 21196 28204 30676 33308 49357 53683 58289 84359 98714 107366 116578 168718 197428 214732 233156 337436 485237 590513 970474 1181026 1940948 2362052 3396659 4915829 5337607 5805433 6793318 9831658 10675214 11610866 13586636 19663316 21350428 23221732 34410803 37363249 40638031 54074119 63859763 68821606 74726498 81276062 108148238 127719526 137643212 149452996 162552124 216296476 255439052 378518833 447018341 757037666 894036682 1514075332 1788073364 3721282553 7442565106 14885130212 26048977871 40934108083 52097955742 81868216166 104195911484 163736432332 286538756581 573077513162 1146155026324