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40802042106 = 23273136431609
BaseRepresentation
bin100101111111111111…
…011100000011111010
310220022120020111102200
4211333333130003322
51132030310321411
630424425211030
72643053430660
oct457777340372
9126276214380
1040802042106
1116338764161
127aa8630a76
133b0329baa7
141d90d08c30
1510dc113e56
hex97ffdc0fa

40802042106 has 96 divisors (see below), whose sum is σ = 101577141120. Its totient is φ = 11595197952.

The previous prime is 40802042009. The next prime is 40802042129. The reversal of 40802042106 is 60124020804.

It is a self number, because there is not a number n which added to its sum of digits gives 40802042106.

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, 25357830 + ... + 25359438.

It is an arithmetic number, because the mean of its divisors is an integer number (1058095220).

Almost surely, 240802042106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40802042106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50788570560).

40802042106 is an abundant number, since it is smaller than the sum of its proper divisors (60775099014).

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

40802042106 is a wasteful number, since it uses less digits than its factorization.

40802042106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40802042106 in words is "forty billion, eight hundred two million, forty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 313 626 643 939 1286 1609 1878 1929 2191 2817 3218 3858 4382 4501 4827 5634 5787 6573 9002 9654 11263 11574 13146 13503 14481 19719 22526 27006 28962 33789 39438 40509 67578 81018 101367 201259 202734 402518 503617 603777 1007234 1034587 1207554 1408813 1510851 1811331 2069174 2817626 3021702 3103761 3525319 3622662 4226439 4532553 6207522 7050638 7242109 8452878 9065106 9311283 10575957 12679317 14484218 18622566 21151914 21726327 25358634 31727871 43452654 63455742 65178981 130357962 323825731 647651462 971477193 1942954386 2266780117 2914431579 4533560234 5828863158 6800340351 13600680702 20401021053 40802042106