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141002618436 = 2232191093495419
BaseRepresentation
bin1000001101010001101…
…0010011011001000100
3111110221201022011200100
42003110122103121010
54302233132242221
6144435315244100
713121114324061
oct2032432233104
9443851264610
10141002618436
1154887336219
12233b15a9630
13103b1507c44
146b7885bc68
153a03c6d926
hex20d4693644

141002618436 has 144 divisors (see below), whose sum is σ = 379779400000. Its totient is φ = 43984104192.

The previous prime is 141002618413. The next prime is 141002618443. The reversal of 141002618436 is 634816200141.

141002618436 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 2 + 618 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141002618436.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26017335 + ... + 26022753.

Almost surely, 2141002618436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141002618436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189889700000).

141002618436 is an abundant number, since it is smaller than the sum of its proper divisors (238776781564).

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

141002618436 is a wasteful number, since it uses less digits than its factorization.

141002618436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 141002618436 its reverse (634816200141), we get a palindrome (775818818577).

The spelling of 141002618436 in words is "one hundred forty-one billion, two million, six hundred eighteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 109 114 171 218 228 327 342 349 436 654 684 698 981 1047 1308 1396 1962 2071 2094 3141 3924 4142 4188 5419 6213 6282 6631 8284 10838 12426 12564 13262 16257 18639 19893 21676 24852 26524 32514 37278 38041 39786 48771 59679 65028 74556 76082 79572 97542 102961 114123 119358 152164 195084 205922 228246 238716 308883 342369 411844 456492 590671 617766 684738 722779 926649 1181342 1235532 1369476 1445558 1772013 1853298 1891231 2168337 2362684 2891116 3544026 3706596 3782462 4336674 5316039 5673693 6505011 7088052 7564924 8673348 10632078 11222749 11347386 13010022 17021079 21264156 22445498 22694772 26020044 33668247 34042158 35933389 44890996 67336494 68084316 71866778 101004741 107800167 134672988 143733556 202009482 206144179 215600334 323400501 404018964 412288358 431200668 618432537 646801002 824576716 1236865074 1293602004 1855297611 2473730148 3710595222 3916739401 7421190444 7833478802 11750218203 15666957604 23500436406 35250654609 47000872812 70501309218 141002618436