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42640600240 = 2457411857169
BaseRepresentation
bin100111101101100100…
…111110110010110000
311002001200210221001101
4213231210332302300
51144311443201430
631331104014144
73036450056530
oct475544766260
9132050727041
1042640600240
11170a1564097
128320301354
13403716c304
1420c717b4c0
151198736dca
hex9ed93ecb0

42640600240 has 80 divisors (see below), whose sum is σ = 116065696320. Its totient is φ = 14263050240.

The previous prime is 42640600181. The next prime is 42640600297. The reversal of 42640600240 is 4200604624.

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 42640600199 and 42640600208.

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, 905625 + ... + 951544.

It is an arithmetic number, because the mean of its divisors is an integer number (1450821204).

Almost surely, 242640600240 is an apocalyptic number.

42640600240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42640600240 is an abundant number, since it is smaller than the sum of its proper divisors (73425096080).

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

42640600240 is a wasteful number, since it uses less digits than its factorization.

42640600240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857230 (or 1857224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 42640600240 in words is "forty-two billion, six hundred forty million, six hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 1857169 3714338 7428676 9285845 13000183 14857352 18571690 26000366 29714704 37143380 52000732 65000915 74286760 76143929 104001464 130001830 148573520 152287858 208002928 260003660 304575716 380719645 520007320 533007503 609151432 761439290 1040014640 1066015006 1218302864 1522878580 2132030012 2665037515 3045757160 4264060024 5330075030 6091514320 8528120048 10660150060 21320300120 42640600240