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141103636032042 = 232312275839190783
BaseRepresentation
bin100000000101010101000000…
…000110100010101000101010
3200111121101011000010212121100
4200011111000012202220222
5121443320221311011132
61220034040541222230
741502254432546115
oct4005250006425052
9614541130125540
10141103636032042
1140a61796a809a2
12139aa9b6261976
1360970288a3508
1426bb64964357c
15114a6692ba37c
hex8055401a2a2a

141103636032042 has 96 divisors (see below), whose sum is σ = 317032824176640. Its totient is φ = 45308786654880.

The previous prime is 141103636032019. The next prime is 141103636032043. The reversal of 141103636032042 is 240230636301141.

141103636032042 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 0 + 3 + 6 + 3 + 603 + 2 + 0 + 42 = 666.

It is a super-2 number, since 2×1411036360320422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141103636031988 and 141103636032006.

It is not an unprimeable number, because it can be changed into a prime (141103636032043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739507383 + ... + 739698165.

It is an arithmetic number, because the mean of its divisors is an integer number (3302425251840).

Almost surely, 2141103636032042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141103636032042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158516412088320).

141103636032042 is an abundant number, since it is smaller than the sum of its proper divisors (175929188144598).

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

141103636032042 is a wasteful number, since it uses less digits than its factorization.

141103636032042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196888 (or 196885 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 141103636032042 in words is "one hundred forty-one trillion, one hundred three billion, six hundred thirty-six million, thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 227 279 454 558 681 1362 2043 4086 5839 7037 11678 14074 17517 21111 35034 42222 52551 63333 105102 126666 181009 190783 362018 381566 543027 572349 1086054 1144698 1325453 1629081 1717047 2650906 3258162 3434094 3976359 5914273 7952718 11828546 11929077 17742819 23858154 35485638 41089043 43307741 53228457 82178086 86615482 106456914 123267129 129923223 246534258 259846446 369801387 389769669 739602774 779539338 1113981937 1342539971 2227963874 2685079942 3341945811 4027619913 6683891622 8055239826 10025837433 12082859739 20051674866 24165719478 34533440047 69066880094 103600320141 207200640282 252873899699 310800960423 505747799398 621601920846 758621699097 1517243398194 2275865097291 4551730194582 7839090890669 15678181781338 23517272672007 47034545344014 70551818016021 141103636032042