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141503701140 = 22335571458921
BaseRepresentation
bin1000001111001001000…
…1110010000010010100
3111112020122011210221000
42003302101302002110
54304244421414030
6145001135223300
713136410420434
oct2036221620224
9445218153830
10141503701140
115501417205a
1223511377b30
131046127ba99
146bc52162c4
153a32c4c860
hex20f2472094

141503701140 has 96 divisors (see below), whose sum is σ = 441005685120. Its totient is φ = 37668153600.

The previous prime is 141503701139. The next prime is 141503701169. The reversal of 141503701140 is 41107305141.

141503701140 is a `hidden beast` number, since 1 + 4 + 150 + 370 + 1 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78880 + ... + 537800.

It is an arithmetic number, because the mean of its divisors is an integer number (4593809220).

Almost surely, 2141503701140 is an apocalyptic number.

141503701140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141503701140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220502842560).

141503701140 is an abundant number, since it is smaller than the sum of its proper divisors (299501983980).

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

141503701140 is a wasteful number, since it uses less digits than its factorization.

141503701140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459510 (or 459502 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 141503701140 in words is "one hundred forty-one billion, five hundred three million, seven hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 571 1142 1713 2284 2855 3426 5139 5710 6852 8565 10278 11420 15417 17130 20556 25695 30834 34260 51390 61668 77085 102780 154170 308340 458921 917842 1376763 1835684 2294605 2753526 4130289 4589210 5507052 6883815 8260578 9178420 12390867 13767630 16521156 20651445 24781734 27535260 41302890 49563468 61954335 82605780 123908670 247817340 262043891 524087782 786131673 1048175564 1310219455 1572263346 2358395019 2620438910 3144526692 3930658365 4716790038 5240877820 7075185057 7861316730 9433580076 11791975095 14150370114 15722633460 23583950190 28300740228 35375925285 47167900380 70751850570 141503701140