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141053157120 = 283590740499
BaseRepresentation
bin1000001101011101101…
…1000101111100000000
3111111002020101210201110
42003113123011330000
54302334102011440
6144444322403320
713122300024141
oct2032733057400
9444066353643
10141053157120
1154902914727
1223406500540
13103bbb215a5
146b81455ac8
153a08403080
hex20d76c5f00

141053157120 has 144 divisors (see below), whose sum is σ = 450996336000. Its totient is φ = 37571776512.

The previous prime is 141053157073. The next prime is 141053157121. The reversal of 141053157120 is 21751350141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141053157121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3462631 + ... + 3503129.

It is an arithmetic number, because the mean of its divisors is an integer number (3131919000).

Almost surely, 2141053157120 is an apocalyptic number.

141053157120 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 141053157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225498168000).

141053157120 is an abundant number, since it is smaller than the sum of its proper divisors (309943178880).

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

141053157120 is an equidigital number, since it uses as much as digits as its factorization.

141053157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41430 (or 41416 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 141053157120 in words is "one hundred forty-one billion, fifty-three million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 907 960 1280 1814 1920 2721 3628 3840 4535 5442 7256 9070 10884 13605 14512 18140 21768 27210 29024 36280 40499 43536 54420 58048 72560 80998 87072 108840 116096 121497 145120 161996 174144 202495 217680 232192 242994 290240 323992 348288 404990 435360 485988 580480 607485 647984 696576 809980 870720 971976 1160960 1214970 1295968 1619960 1741440 1943952 2429940 2591936 3239920 3482880 3887904 4859880 5183872 6479840 7775808 9719760 10367744 12959680 15551616 19439520 25919360 31103232 36732593 38879040 51838720 73465186 77758080 110197779 146930372 155516160 183662965 220395558 293860744 367325930 440791116 550988895 587721488 734651860 881582232 1101977790 1175442976 1469303720 1763164464 2203955580 2350885952 2938607440 3526328928 4407911160 4701771904 5877214880 7052657856 8815822320 9403543808 11754429760 14105315712 17631644640 23508859520 28210631424 35263289280 47017719040 70526578560 141053157120