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40222402130214 = 23223739224358613
BaseRepresentation
bin10010010010101000000011…
…11111011011000100100110
312021102020001100202211020100
421021110001333123010212
520233000434421131324
6221313525541444530
711320654423002513
oct1111240177330446
9167366040684210
1040222402130214
11118a8252452277
124617455110746
131959c57b44995
149d0abb8d830a
1549b424c544c9
hex249501fdb126

40222402130214 has 96 divisors (see below), whose sum is σ = 91102811754240. Its totient is φ = 12801251859264.

The previous prime is 40222402130203. The next prime is 40222402130233. The reversal of 40222402130214 is 41203120422204.

It is a happy number.

40222402130214 is a `hidden beast` number, since 4 + 0 + 222 + 402 + 1 + 30 + 2 + 1 + 4 = 666.

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, 686207572 + ... + 686266184.

It is an arithmetic number, because the mean of its divisors is an integer number (948987622440).

Almost surely, 240222402130214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222402130214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45551405877120).

40222402130214 is an abundant number, since it is smaller than the sum of its proper divisors (50880409624026).

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

40222402130214 is a wasteful number, since it uses less digits than its factorization.

40222402130214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61626 (or 61623 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40222402130214 its reverse (41203120422204), we get a palindrome (81425522552418).

The spelling of 40222402130214 in words is "forty trillion, two hundred twenty-two billion, four hundred two million, one hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 739 1478 2217 2243 4434 4486 6651 6729 13302 13458 16997 20187 33994 40374 50991 51589 58613 101982 103178 117226 152973 154767 175839 305946 309534 351678 464301 527517 928602 1055034 1348099 1657577 2696198 3315154 4044297 4972731 8088594 9945462 12132891 14918193 24265782 29836386 38124271 43315007 76248542 86630014 114372813 129945021 131468959 228745626 259890042 262937918 343118439 389835063 394406877 686236878 779670126 788813754 996245161 1183220631 1992490322 2366441262 2988735483 3023786057 5977470966 6047572114 8966206449 9071358171 17932412898 18142716342 27214074513 54428149026 97155560701 194311121402 291466682103 582933364206 874400046309 1748800092618 2234577896123 4469155792246 6703733688369 13407467376738 20111201065107 40222402130214