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40214101524 = 22329160771909
BaseRepresentation
bin100101011100111100…
…100111111000010100
310211210120221000120120
4211130330213320110
51124324302222044
630250223431540
72622354136332
oct453474477024
9124716830516
1040214101524
11160668a2753
1279637555b0
133a3b53625c
141d36bc0b52
1510a56c9519
hex95cf27e14

40214101524 has 48 divisors (see below), whose sum is σ = 97130275200. Its totient is φ = 12934235776.

The previous prime is 40214101523. The next prime is 40214101541. The reversal of 40214101524 is 42510141204.

It is a super-2 number, since 2×402141015242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40214101494 and 40214101503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40214101523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523282 + ... + 595190.

It is an arithmetic number, because the mean of its divisors is an integer number (2023547400).

Almost surely, 240214101524 is an apocalyptic number.

It is an amenable number.

40214101524 is an abundant number, since it is smaller than the sum of its proper divisors (56916173676).

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

40214101524 is a wasteful number, since it uses less digits than its factorization.

40214101524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73552 (or 73550 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 40214101524 its reverse (42510141204), we get a palindrome (82724242728).

It can be divided in two parts, 4021 and 4101524, that added together give a triangular number (4105545 = T2865).

The spelling of 40214101524 in words is "forty billion, two hundred fourteen million, one hundred one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 1607 3214 4821 6428 9642 19284 46603 71909 93206 139809 143818 186412 215727 279618 287636 431454 559236 862908 2085361 4170722 6256083 8341444 12512166 25024332 115557763 231115526 346673289 462231052 693346578 1386693156 3351175127 6702350254 10053525381 13404700508 20107050762 40214101524