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83415128140440 = 23325997232405907
BaseRepresentation
bin10010111101110110011001…
…000101001110101010011000
3101221100102000200221211101200
4102331312121011032222120
541413133140300443230
6453224214132514200
723366354431262235
oct2275663105165230
9357312020854350
1083415128140440
1124640180231018
1294324b177b960
133771022263735
141685456cac78c
15999c43c4d160
hex4bdd9914ea98

83415128140440 has 96 divisors (see below), whose sum is σ = 271371082535280. Its totient is φ = 22221723108096.

The previous prime is 83415128140433. The next prime is 83415128140441. The reversal of 83415128140440 is 4404182151438.

83415128140440 is a `hidden beast` number, since 8 + 3 + 41 + 5 + 1 + 28 + 140 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83415128140441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115844034 + ... + 116561873.

Almost surely, 283415128140440 is an apocalyptic number.

It is an amenable number.

83415128140440 is an abundant number, since it is smaller than the sum of its proper divisors (187955954394840).

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

83415128140440 is a wasteful number, since it uses less digits than its factorization.

83415128140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232406921 (or 232406914 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 83415128140440 in words is "eighty-three trillion, four hundred fifteen billion, one hundred twenty-eight million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 997 1994 2991 3988 4985 5982 7976 8973 9970 11964 14955 17946 19940 23928 29910 35892 39880 44865 59820 71784 89730 119640 179460 358920 232405907 464811814 697217721 929623628 1162029535 1394435442 1859247256 2091653163 2324059070 2788870884 3486088605 4183306326 4648118140 5577741768 6972177210 8366612652 9296236280 10458265815 13944354420 16733225304 20916531630 27888708840 41833063260 83666126520 231708689279 463417378558 695126067837 926834757116 1158543446395 1390252135674 1853669514232 2085378203511 2317086892790 2780504271348 3475630339185 4170756407022 4634173785580 5561008542696 6951260678370 8341512814044 9268347571160 10426891017555 13902521356740 16683025628088 20853782035110 27805042713480 41707564070220 83415128140440