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40025097084 = 22372315937217
BaseRepresentation
bin100101010001101011…
…101000001101111100
310211022102021121020010
4211101223220031330
51123432411101314
630215352423220
72614600466100
oct452153501574
9124272247203
1040025097084
1115a7a13a935
1279103a7b10
133a0b32b9cb
141d19a61900
151093ce3059
hex951ae837c

40025097084 has 144 divisors (see below), whose sum is σ = 114047861760. Its totient is φ = 10878981120.

The previous prime is 40025097061. The next prime is 40025097107. The reversal of 40025097084 is 48079052004.

40025097084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40025097061) and next prime (40025097107).

It is a congruent number.

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, 1056844 + ... + 1094060.

It is an arithmetic number, because the mean of its divisors is an integer number (791999040).

Almost surely, 240025097084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40025097084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57023930880).

40025097084 is an abundant number, since it is smaller than the sum of its proper divisors (74022764676).

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

40025097084 is a wasteful number, since it uses less digits than its factorization.

40025097084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37328 (or 37319 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 40025097084 in words is "forty billion, twenty-five million, ninety-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 59 62 84 93 98 118 124 147 177 186 196 217 236 294 354 372 413 434 588 651 708 826 868 1239 1302 1519 1652 1829 2478 2604 2891 3038 3658 4557 4956 5487 5782 6076 7316 8673 9114 10974 11564 12803 17346 18228 21948 25606 34692 37217 38409 51212 74434 76818 89621 111651 148868 153636 179242 223302 260519 268863 358484 446604 521038 537726 781557 1042076 1075452 1153727 1563114 1823633 2195803 2307454 3126228 3461181 3647266 4391606 4614908 5470899 6587409 6922362 7294532 8076089 8783212 10941798 13174818 13844724 15370621 16152178 21883596 24228267 26349636 30741242 32304356 46111863 48456534 56532623 61482484 68069893 92223726 96913068 107594347 113065246 136139786 169597869 184447452 204209679 215188694 226130492 272279572 322783041 339195738 408419358 430377388 476489251 645566082 678391476 816838716 952978502 1291132164 1429467753 1905957004 2858935506 3335424757 5717871012 6670849514 10006274271 13341699028 20012548542 40025097084