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153214050304340 = 225167173444159707
BaseRepresentation
bin100010110101100011101101…
…000010110000000101010100
3202002111010020121011011112022
4202311203231002300011110
5130040224333334214330
61301505321340312312
744162230665446054
oct4265435502600524
9662433217134468
10153214050304340
1144900794129803
1215225aab542698
13676503b55a91c
1429b9857443564
1512aa6b0865ae5
hex8b58ed0b0154

153214050304340 has 96 divisors (see below), whose sum is σ = 325625868336384. Its totient is φ = 60551857290240.

The previous prime is 153214050304327. The next prime is 153214050304387. The reversal of 153214050304340 is 43403050412351.

It is a super-3 number, since 3×1532140503043403 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153214050304340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566068767 + ... + 2566128473.

It is an arithmetic number, because the mean of its divisors is an integer number (3391936128504).

Almost surely, 2153214050304340 is an apocalyptic number.

153214050304340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153214050304340 is an abundant number, since it is smaller than the sum of its proper divisors (172411818032044).

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

153214050304340 is a wasteful number, since it uses less digits than its factorization.

153214050304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64497 (or 64495 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 153214050304340 in words is "one hundred fifty-three trillion, two hundred fourteen billion, fifty million, three hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 167 173 334 346 668 692 835 865 1670 1730 3340 3460 4441 8882 17764 22205 28891 44410 57782 59707 88820 115564 119414 144455 238828 288910 298535 577820 597070 741647 768293 1194140 1483294 1536586 2966588 3073172 3708235 3841465 7416470 7682930 9971069 10329311 14832940 15365860 19942138 20658622 39884276 41317244 49855345 51646555 99710690 103293110 128304931 199421380 206586220 256609862 265158787 513219724 530317574 641524655 1060635148 1283049310 1325793935 1724994937 2566098620 2651587870 3449989874 5303175740 6899979748 8624974685 17249949370 34499898740 44281517429 45872470151 88563034858 91744940302 177126069716 183489880604 221407587145 229362350755 442815174290 458724701510 885630348580 917449403020 7660702515217 15321405030434 30642810060868 38303512576085 76607025152170 153214050304340