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139835000284 = 227217374724133
BaseRepresentation
bin1000001000111011010…
…0001100010111011100
3111100221100020000200121
42002032310030113130
54242340230002114
6144123405204324
713050145614400
oct2021664142734
9440840200617
10139835000284
1154338237441
12231265606a4
1310256640925
146aa775b100
1539864cca24
hex208ed0c5dc

139835000284 has 144 divisors (see below), whose sum is σ = 316154627712. Its totient is φ = 53709723648.

The previous prime is 139835000273. The next prime is 139835000287. The reversal of 139835000284 is 482000538931.

It is a self number, because there is not a number n which added to its sum of digits gives 139835000284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139835000287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5782282 + ... + 5806414.

It is an arithmetic number, because the mean of its divisors is an integer number (2195518248).

Almost surely, 2139835000284 is an apocalyptic number.

139835000284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

139835000284 is the 236504-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139835000284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158077313856).

139835000284 is an abundant number, since it is smaller than the sum of its proper divisors (176319627428).

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

139835000284 is a wasteful number, since it uses less digits than its factorization.

139835000284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24252 (or 24243 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 139835000284 in words is "one hundred thirty-nine billion, eight hundred thirty-five million, two hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 17 28 34 37 47 49 68 74 94 98 119 148 188 196 238 259 329 476 518 629 658 799 833 1036 1258 1316 1598 1666 1739 1813 2303 2516 3196 3332 3478 3626 4403 4606 5593 6956 7252 8806 9212 11186 12173 17612 22372 24133 24346 29563 30821 39151 48266 48692 59126 61642 78302 85211 96532 118252 123284 156604 168931 170422 206941 337862 340844 410261 413882 675724 820522 827764 892921 1134251 1182517 1448587 1641044 1785842 2268502 2365034 2871827 2897174 3571684 4537004 4730068 5743654 5794348 6250447 7939757 11487308 12500894 15179657 15879514 19282267 20102789 25001788 30359314 31759028 38564534 40205578 41967287 43753129 55578299 60718628 77129068 80411156 83934574 87506258 106257599 111156598 134975869 167869148 175012516 212515198 222313196 269951738 293771009 425030396 539903476 587542018 713443879 743803193 944831083 1175084036 1426887758 1487606386 1889662166 2056397063 2853775516 2975212772 3779324332 4112794126 4994107153 8225588252 9988214306 19976428612 34958750071 69917500142 139835000284