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141201768660372 = 2232715972357148859
BaseRepresentation
bin100000000110110000011001…
…010000110011110110010100
3200111221202110000222220111100
4200012300121100303312110
5122001422210234112442
61220151110320110100
741512330313251260
oct4006603120636624
9614852400886440
10141201768660372
1140a9a374317022
1213a05a22765330
1360a33675647b4
1426c22b86910a0
15114ceae5de84c
hex806c19433d94

141201768660372 has 144 divisors (see below), whose sum is σ = 408347564526720. Its totient is φ = 40300724088576.

The previous prime is 141201768660371. The next prime is 141201768660377. The reversal of 141201768660372 is 273066867102141.

141201768660372 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 1 + 7 + 6 + 8 + 6 + 603 + 7 + 2 = 666.

141201768660372 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 2×1412017686603722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141201768660371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948486079 + ... + 948634937.

It is an arithmetic number, because the mean of its divisors is an integer number (2835746975880).

Almost surely, 2141201768660372 is an apocalyptic number.

141201768660372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141201768660372 is an abundant number, since it is smaller than the sum of its proper divisors (267145795866348).

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

141201768660372 is a wasteful number, since it uses less digits than its factorization.

141201768660372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152830 (or 152825 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 141201768660372 in words is "one hundred forty-one trillion, two hundred one billion, seven hundred sixty-eight million, six hundred sixty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1597 2357 3194 4714 4791 6388 7071 9428 9582 11179 14142 14373 16499 19164 21213 22358 28284 28746 32998 33537 42426 44716 49497 57492 65996 67074 84852 98994 100611 134148 148491 148859 197988 201222 296982 297718 402444 446577 593964 595436 893154 1042013 1339731 1786308 2084026 2679462 3126039 3764129 4168052 5358924 6252078 7528258 9378117 11292387 12504156 15056516 18756234 22584774 26348903 33877161 37512468 45169548 52697806 67754322 79046709 105395612 135508644 158093418 237140127 237727823 316186836 350860663 474280254 475455646 701721326 713183469 948560508 950911292 1052581989 1403442652 1426366938 1664094761 2105163978 2139550407 2456024641 2852733876 3157745967 3328189522 4210327956 4279100814 4912049282 4992284283 6315491934 6656379044 7368073923 8558201628 9824098564 9984568566 12630983868 14736147846 14976852849 19969137132 22104221769 29472295692 29953705698 44208443538 59907411396 88416887076 560324478811 1120648957622 1680973436433 2241297915244 3361946872866 3922271351677 5042920309299 6723893745732 7844542703354 10085840618598 11766814055031 15689085406708 20171681237196 23533628110062 35300442165093 47067256220124 70600884330186 141201768660372