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141857040 = 243513192393
BaseRepresentation
bin10000111010010…
…01000100010000
3100212221002021110
420131021010100
5242303411130
622024253320
73341523243
oct1035110420
9325832243
10141857040
1173090326
123b611240
132350a6a0
1414ba925a
15c6c1ab0
hex8749110

141857040 has 160 divisors (see below), whose sum is σ = 498718080. Its totient is φ = 33067008.

The previous prime is 141857039. The next prime is 141857057. The reversal of 141857040 is 40758141.

141857040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 141856989 and 141857007.

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, 58084 + ... + 60476.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2141857040 is an apocalyptic number.

141857040 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 141857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

141857040 is an abundant number, since it is smaller than the sum of its proper divisors (356861040).

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

141857040 is a wasteful number, since it uses less digits than its factorization.

141857040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 141857040 is about 11910.3753089481. The cubic root of 141857040 is about 521.5352067070.

The spelling of 141857040 in words is "one hundred forty-one million, eight hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2393 2470 2964 3120 3705 3952 4560 4786 4940 5928 7179 7410 9572 9880 11856 11965 14358 14820 19144 19760 23930 28716 29640 31109 35895 38288 45467 47860 57432 59280 62218 71790 90934 93327 95720 114864 124436 136401 143580 155545 181868 186654 191440 227335 248872 272802 287160 311090 363736 373308 454670 466635 497744 545604 574320 591071 622180 682005 727472 746616 909340 933270 1091208 1182142 1244360 1364010 1493232 1773213 1818680 1866540 2182416 2364284 2488720 2728020 2955355 3546426 3637360 3733080 4728568 5456040 5910710 7092852 7466160 8866065 9457136 10912080 11821420 14185704 17732130 23642840 28371408 35464260 47285680 70928520 141857040