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245402133240 = 233511467939733
BaseRepresentation
bin1110010010001100011…
…0110110001011111000
3212110102111102000122210
43210203012312023320
513010040421230430
6304423003215120
723505202500255
oct3444306661370
9773374360583
10245402133240
1195090119970
123b6888174a0
131a1ab63a884
14bc3dd0c42c
1565b43482b0
hex39231b62f8

245402133240 has 128 divisors (see below), whose sum is σ = 803326118400. Its totient is φ = 59477214720.

The previous prime is 245402133209. The next prime is 245402133253. The reversal of 245402133240 is 42331204542.

245402133240 is digitally balanced in base 2, 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 = 245402133198 and 245402133207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6156414 + ... + 6196146.

It is an arithmetic number, because the mean of its divisors is an integer number (6275985300).

Almost surely, 2245402133240 is an apocalyptic number.

245402133240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245402133240 is an abundant number, since it is smaller than the sum of its proper divisors (557923985160).

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

245402133240 is a wasteful number, since it uses less digits than its factorization.

245402133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44437 (or 44433 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 245402133240 its reverse (42331204542), we get a palindrome (287733337782).

The spelling of 245402133240 in words is "two hundred forty-five billion, four hundred two million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4679 9358 14037 18716 23395 28074 37432 39733 46790 51469 56148 70185 79466 93580 102938 112296 119199 140370 154407 158932 187160 198665 205876 238398 257345 280740 308814 317864 397330 411752 437063 476796 514690 561480 595995 617628 772035 794660 874126 953592 1029380 1191990 1235256 1311189 1544070 1589320 1748252 2058760 2185315 2383980 2622378 3088140 3496504 4370630 4767960 5244756 6176280 6555945 8741260 10489512 13111890 17482520 26223780 52447560 185910707 371821414 557732121 743642828 929553535 1115464242 1487285656 1859107070 2045017777 2230928484 2788660605 3718214140 4090035554 4461856968 5577321210 6135053331 7436428280 8180071108 10225088885 11154642420 12270106662 16360142216 20450177770 22309284840 24540213324 30675266655 40900355540 49080426648 61350533310 81800711080 122701066620 245402133240