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126151253340 = 22357476390641
BaseRepresentation
bin111010101111100110…
…0110101110101011100
3110001121200211122202020
41311133030311311130
54031324210101330
6133541511100140
712054100650420
oct1653714656534
9401550748666
10126151253340
1149556103872
1220547971650
13bb85700648
14616a288b80
153435019210
hex1d5f335d5c

126151253340 has 96 divisors (see below), whose sum is σ = 412273096704. Its totient is φ = 28221066240.

The previous prime is 126151253297. The next prime is 126151253359. The reversal of 126151253340 is 43352151621.

126151253340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1261512533402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3175581 + ... + 3215060.

It is an arithmetic number, because the mean of its divisors is an integer number (4294511424).

Almost surely, 2126151253340 is an apocalyptic number.

126151253340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126151253340 is an abundant number, since it is smaller than the sum of its proper divisors (286121843364).

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

126151253340 is a wasteful number, since it uses less digits than its factorization.

126151253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390707 (or 6390705 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 126151253340 in words is "one hundred twenty-six billion, one hundred fifty-one million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 9870 19740 6390641 12781282 19171923 25562564 31953205 38343846 44734487 63906410 76687692 89468974 95859615 127812820 134203461 178937948 191719230 223672435 268406922 300360127 383438460 447344870 536813844 600720254 671017305 894689740 901080381 1201440508 1342034610 1501800635 1802160762 2102520889 2684069220 3003601270 3604321524 4205041778 4505401905 6007202540 6307562667 8410083556 9010803810 10512604445 12615125334 18021607620 21025208890 25230250668 31537813335 42050417780 63075626670 126151253340