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40232023002 = 2342960114249
BaseRepresentation
bin100101011110000000…
…111111001111011010
310211211211122112020000
4211132000333033122
51124343344214002
630252103513430
72622662360463
oct453600771732
9124754575200
1040232023002
1116075a23396
127969758876
133a4216c592
141d39327d6a
1510a706961c
hex95e03f3da

40232023002 has 80 divisors (see below), whose sum is σ = 93419865000. Its totient is φ = 12925785600.

The previous prime is 40232022997. The next prime is 40232023003. The reversal of 40232023002 is 20032023204.

40232023002 is a `hidden beast` number, since 40 + 2 + 320 + 2 + 300 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40024403721 + 207619281 = 200061^2 + 14409^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40232023003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2816374 + ... + 2830622.

Almost surely, 240232023002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40232023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46709932500).

40232023002 is an abundant number, since it is smaller than the sum of its proper divisors (53187841998).

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

40232023002 is a wasteful number, since it uses less digits than its factorization.

40232023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14893 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 40232023002 its reverse (20032023204), we get a palindrome (60264046206).

It can be divided in two parts, 4023202 and 3002, that added together give a palindrome (4026204).

The spelling of 40232023002 in words is "forty billion, two hundred thirty-two million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 601 783 1202 1566 1803 2349 3606 4698 5409 10818 14249 16227 17429 28498 32454 34858 42747 48681 52287 85494 97362 104574 128241 156861 256482 313722 384723 413221 470583 769446 826442 941166 1154169 1239663 1411749 2308338 2479326 2823498 3718989 7437978 8563649 11156967 17127298 22313934 25690947 33470901 51381894 66941802 77072841 154145682 231218523 248345821 462437046 496691642 693655569 745037463 1387311138 1490074926 2235112389 4470224778 6705337167 13410674334 20116011501 40232023002