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35242100235440 = 2457563111780323
BaseRepresentation
bin10000000001101011100001…
…10111011001110010110000
311121210010000120010010021222
420000311300313121302300
514104401310130013230
6202541555232004212
710265105045243510
oct1000656067316260
9147703016103258
1035242100235440
11102580aa90681a
123b521a4090668
131688414a45ca7
1489ba262cd840
15411adba186e5
hex200d70dd9cb0

35242100235440 has 80 divisors (see below), whose sum is σ = 93809624871168. Its totient is φ = 12061543865088.

The previous prime is 35242100235341. The next prime is 35242100235571. The reversal of 35242100235440 is 4453200124253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 35242100235440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55574882 + ... + 56205441.

Almost surely, 235242100235440 is an apocalyptic number.

It is an amenable number.

35242100235440 is an abundant number, since it is smaller than the sum of its proper divisors (58567524635728).

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

35242100235440 is a wasteful number, since it uses less digits than its factorization.

35242100235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111780906 (or 111780900 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 35242100235440 its reverse (4453200124253), we get a palindrome (39695300359693).

The spelling of 35242100235440 in words is "thirty-five trillion, two hundred forty-two billion, one hundred million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 563 1126 2252 2815 3941 4504 5630 7882 9008 11260 15764 19705 22520 31528 39410 45040 63056 78820 157640 315280 111780323 223560646 447121292 558901615 782462261 894242584 1117803230 1564924522 1788485168 2235606460 3129849044 3912311305 4471212920 6259698088 7824622610 8942425840 12519396176 15649245220 31298490440 62596980880 62932321849 125864643698 251729287396 314661609245 440526252943 503458574792 629323218490 881052505886 1006917149584 1258646436980 1762105011772 2202631264715 2517292873960 3524210023544 4405262529430 5034585747920 7048420047088 8810525058860 17621050117720 35242100235440