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2342535900030 = 2335137193328129
BaseRepresentation
bin100010000101101010000…
…001010010101101111110
322021221111100120111002000
4202011222001102231332
5301340003142300110
64552051322043130
7331146136420644
oct42055201225576
98257440514060
102342535900030
1182351149a377
12319bba6494a6
1313cb919342a1
1481544cb7194
1540e04ae11c0
hex2216a052b7e

2342535900030 has 128 divisors (see below), whose sum is σ = 6324981379200. Its totient is φ = 616901640192.

The previous prime is 2342535900007. The next prime is 2342535900041. The reversal of 2342535900030 is 300095352432.

2342535900030 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 535 + 90 + 0 + 0 + 30 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6975006 + ... + 7303134.

It is an arithmetic number, because the mean of its divisors is an integer number (49413917025).

Almost surely, 22342535900030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342535900030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162490689600).

2342535900030 is an abundant number, since it is smaller than the sum of its proper divisors (3982445479170).

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

2342535900030 is a wasteful number, since it uses less digits than its factorization.

2342535900030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328475 (or 328469 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 2342535900030 in words is "two trillion, three hundred forty-two billion, five hundred thirty-five million, nine hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 193 270 274 386 411 579 685 822 965 1158 1233 1370 1737 1930 2055 2466 2895 3474 3699 4110 5211 5790 6165 7398 8685 10422 12330 17370 18495 26055 26441 36990 52110 52882 79323 132205 158646 237969 264410 328129 396615 475938 656258 713907 793230 984387 1189845 1427814 1640645 1968774 2379690 2953161 3281290 3569535 4921935 5906322 7139070 8859483 9843870 14765805 17718966 29531610 44297415 44953673 63328897 88594830 89907346 126657794 134861019 189986691 224768365 269722038 316644485 379973382 404583057 449536730 569960073 633288970 674305095 809166114 949933455 1139920146 1213749171 1348610190 1709880219 1899866910 2022915285 2427498342 2849800365 3419760438 4045830570 5699600730 6068745855 8549401095 8676058889 12137491710 17098802190 17352117778 26028176667 43380294445 52056353334 78084530001 86760588890 130140883335 156169060002 234253590003 260281766670 390422650005 468507180006 780845300010 1171267950015 2342535900030