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40214232114 = 237311011032969
BaseRepresentation
bin100101011100111101…
…000111110000110010
310211210121011122201020
4211130331013300302
51124324320411424
630250230320310
72622355222140
oct453475076062
9124717148636
1040214232114
1116066981881
1279637b9096
133a3b580824
141d36c16590
1510a5703079
hex95cf47c32

40214232114 has 128 divisors (see below), whose sum is σ = 96785694720. Its totient is φ = 10898496000.

The previous prime is 40214232077. The next prime is 40214232131. The reversal of 40214232114 is 41123241204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13543222 + ... + 13546190.

It is an arithmetic number, because the mean of its divisors is an integer number (756138240).

Almost surely, 240214232114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40214232114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48392847360).

40214232114 is an abundant number, since it is smaller than the sum of its proper divisors (56571462606).

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

40214232114 is a wasteful number, since it uses less digits than its factorization.

40214232114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40214232114 its reverse (41123241204), we get a palindrome (81337473318).

The spelling of 40214232114 in words is "forty billion, two hundred fourteen million, two hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 101 103 186 202 206 217 303 309 434 606 618 651 707 721 1302 1414 1442 2121 2163 2969 3131 3193 4242 4326 5938 6262 6386 8907 9393 9579 10403 17814 18786 19158 20783 20806 21917 22351 31209 41566 43834 44702 62349 62418 65751 67053 72821 92039 124698 131502 134106 145642 184078 218463 276117 299869 305807 322493 436926 552234 599738 611614 644273 644986 899607 917421 967479 1288546 1799214 1834842 1932819 1934958 2099083 2140649 2257451 3865638 4198166 4281298 4514902 6297249 6421947 6772353 9295939 9480017 12594498 12843894 13544706 18591878 18960034 27887817 28440051 30886507 55775634 56880102 61773014 65071573 66360119 92659521 130143146 132720238 185319042 195214719 199080357 216205549 390429438 398160714 432411098 648616647 957481717 1297233294 1914963434 2872445151 5744890302 6702372019 13404744038 20107116057 40214232114