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141225513440 = 25511194223251
BaseRepresentation
bin1000001110000110110…
…0100101000111100000
3111111112020201102010212
42003201230211013200
54303212212412230
6144513400513252
713126462025534
oct2034154450740
9444466642125
10141225513440
1154991136570
122345417b828
131041874a28b
146b9a2bdbc4
153a185eb895
hex20e1b251e0

141225513440 has 96 divisors (see below), whose sum is σ = 383133421440. Its totient is φ = 48651840000.

The previous prime is 141225513409. The next prime is 141225513461. The reversal of 141225513440 is 44315522141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141225513397 and 141225513406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2078186 + ... + 2145065.

It is an arithmetic number, because the mean of its divisors is an integer number (3990973140).

Almost surely, 2141225513440 is an apocalyptic number.

141225513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141225513440 is an abundant number, since it is smaller than the sum of its proper divisors (241907908000).

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

141225513440 is a wasteful number, since it uses less digits than its factorization.

141225513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223296 (or 4223288 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 141225513440 in words is "one hundred forty-one billion, two hundred twenty-five million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 4223251 8446502 16893004 21116255 33786008 42232510 46455761 67572016 80241769 84465020 92911522 135144032 160483538 168930040 185823044 232278805 320967076 337860080 371646088 401208845 464557610 641934152 675720160 743292176 802417690 882659459 929115220 1283868304 1486584352 1604835380 1765318918 1858230440 2567736608 3209670760 3530637836 3716460880 4413297295 6419341520 7061275672 7432921760 8826594590 12838683040 14122551344 17653189180 28245102688 35306378360 70612756720 141225513440