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116235643140 = 2235538476217
BaseRepresentation
bin110110001000000101…
…1110010100100000100
3102010000122212110200000
41230100023302210010
53401022311040030
6125221541121300
711253266444031
oct1542013624404
9363018773600
10116235643140
1145327a990a1
121a63b0b9230
13ac6534c686
1458a9412388
15305477a860
hex1b102f2904

116235643140 has 144 divisors (see below), whose sum is σ = 365793896832. Its totient is φ = 30983129856.

The previous prime is 116235643129. The next prime is 116235643169. The reversal of 116235643140 is 41346532611.

116235643140 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 3 + 5 + 643 + 1 + 4 + 0 = 666.

It is a super-3 number, since 3×1162356431403 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116235643095 and 116235643104.

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, 18693312 + ... + 18699528.

Almost surely, 2116235643140 is an apocalyptic number.

116235643140 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 116235643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182896948416).

116235643140 is an abundant number, since it is smaller than the sum of its proper divisors (249558253692).

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

116235643140 is a wasteful number, since it uses less digits than its factorization.

116235643140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 116235 and 643140, that added together give a 5-th power (759375 = 155).

The spelling of 116235643140 in words is "one hundred sixteen billion, two hundred thirty-five million, six hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 3847 4860 6217 7694 11541 12434 15388 18651 19235 23082 24868 31085 34623 37302 38470 46164 55953 57705 62170 69246 74604 76940 93255 103869 111906 115410 124340 138492 167859 173115 186510 207738 223812 230820 279765 311607 335718 346230 373020 415476 503577 519345 559530 623214 671436 692460 839295 934821 1007154 1038690 1119060 1246428 1510731 1558035 1678590 1869642 2014308 2077380 2517885 3021462 3116070 3357180 3739284 4674105 5035770 6042924 6232140 7553655 9348210 10071540 15107310 18696420 23916799 30214620 47833598 71750397 95667196 119583995 143500794 215251191 239167990 287001588 358751985 430502382 478335980 645753573 717503970 861004764 1076255955 1291507146 1435007940 1937260719 2152511910 2583014292 3228767865 3874521438 4305023820 5811782157 6457535730 7749042876 9686303595 11623564314 12915071460 19372607190 23247128628 29058910785 38745214380 58117821570 116235643140