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140153000245335 = 325711173233804603
BaseRepresentation
bin11111110111011111101001…
…110010110011100001010111
3200101020111101120012022100100
4133313133221302303201113
5121332231321030322320
61214025222141145143
741343501666644220
oct3767375162634127
9611214346168310
10140153000245335
114072560a9480a0
121387671025b1b3
1360284a972bc4c
14268762730a247
151130a7b6ac790
hex7f77e9cb3857

140153000245335 has 96 divisors (see below), whose sum is σ = 304626824206848. Its totient is φ = 57908723823360.

The previous prime is 140153000245331. The next prime is 140153000245339. The reversal of 140153000245335 is 533542000351041.

140153000245335 is a `hidden beast` number, since 1 + 4 + 0 + 15 + 300 + 0 + 2 + 4 + 5 + 335 = 666.

It is an interprime number because it is at equal distance from previous prime (140153000245331) and next prime (140153000245339).

It is not a de Polignac number, because 140153000245335 - 22 = 140153000245331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 140153000245335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140153000245331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116302857 + ... + 117501746.

It is an arithmetic number, because the mean of its divisors is an integer number (3173196085488).

Almost surely, 2140153000245335 is an apocalyptic number.

140153000245335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

140153000245335 is an abundant number, since it is smaller than the sum of its proper divisors (164473823961513).

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

140153000245335 is a wasteful number, since it uses less digits than its factorization.

140153000245335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233804805 (or 233804802 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 140153000245335 its reverse (533542000351041), we get a palindrome (673695000596376).

The spelling of 140153000245335 in words is "one hundred forty trillion, one hundred fifty-three billion, two hundred forty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 173 231 315 385 495 519 693 865 1155 1211 1557 1903 2595 3465 3633 5709 6055 7785 9515 10899 13321 17127 18165 28545 39963 54495 66605 85635 119889 199815 599445 233804603 701413809 1169023015 1636632221 2104241427 2571850633 3507069045 4909896663 7715551899 8183161105 10521207135 12859253165 14729689989 18002954431 23146655697 24549483315 38577759495 40448196319 54008863293 73648449945 90014772155 115733278485 121344588957 162026589879 202240981595 270044316465 283137374233 364033766871 444930159509 606722944785 810132949395 849412122699 1334790478527 1415686871165 1820168834355 2224650797545 2548236368097 3114511116563 4004371435581 4247060613495 6673952392635 9343533349689 12741181840485 15572555582815 20021857177905 28030600049067 46717666748445 140153000245335