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40130212104 = 23331782913183
BaseRepresentation
bin100101010111111100…
…100111000100001000
310211120202001222221000
4211113330213010020
51124141313241404
630234025415000
72620315113633
oct452774470410
9124522058830
1040130212104
1116023505354
12793b63a460
133a27043748
141d299c4c1a
15109d158339
hex957f27108

40130212104 has 128 divisors (see below), whose sum is σ = 118181376000. Its totient is φ = 12573729792.

The previous prime is 40130212081. The next prime is 40130212117. The reversal of 40130212104 is 40121203104.

40130212104 is a `hidden beast` number, since 401 + 30 + 21 + 210 + 4 = 666.

It is a super-2 number, since 2×401302121042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037497 + ... + 3050679.

It is an arithmetic number, because the mean of its divisors is an integer number (923292000).

Almost surely, 240130212104 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 40130212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59090688000).

40130212104 is an abundant number, since it is smaller than the sum of its proper divisors (78051163896).

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

40130212104 is a wasteful number, since it uses less digits than its factorization.

40130212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40130212104 its reverse (40121203104), we get a palindrome (80251415208).

The spelling of 40130212104 in words is "forty billion, one hundred thirty million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 829 918 1224 1658 1836 2487 3316 3672 4974 6632 7461 9948 13183 14093 14922 19896 22383 26366 28186 29844 39549 42279 44766 52732 56372 59688 79098 84558 89532 105464 112744 118647 126837 158196 169116 179064 224111 237294 253674 316392 338232 355941 380511 448222 474588 507348 672333 711882 761022 896444 949176 1014696 1344666 1423764 1522044 1792888 2016999 2689332 2847528 3044088 4033998 5378664 6050997 8067996 10928707 12101994 16135992 21857414 24203988 32786121 43714828 48407976 65572242 87429656 98358363 131144484 185788019 196716726 262288968 295075089 371576038 393433452 557364057 590150178 743152076 786866904 1114728114 1180300356 1486304152 1672092171 2229456228 2360600712 3344184342 4458912456 5016276513 6688368684 10032553026 13376737368 20065106052 40130212104