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121400423514 = 233312233131039
BaseRepresentation
bin111000100010000000…
…1110111010001011010
3102121100121022111102000
41301010001313101122
53442112002023024
6131434240221430
711525262400536
oct1610401672132
9377317274360
10121400423514
1147538413027
121b64090a876
13b5a9383836
145c39328bc6
153257dd0cc9
hex1c4407745a

121400423514 has 128 divisors (see below), whose sum is σ = 280893849600. Its totient is φ = 38823857280.

The previous prime is 121400423461. The next prime is 121400423531. The reversal of 121400423514 is 415324004121.

121400423514 is a `hidden beast` number, since 1 + 2 + 140 + 0 + 4 + 2 + 3 + 514 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116843007 + ... + 116844045.

It is an arithmetic number, because the mean of its divisors is an integer number (2194483200).

Almost surely, 2121400423514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121400423514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140446924800).

121400423514 is an abundant number, since it is smaller than the sum of its proper divisors (159493426086).

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

121400423514 is a wasteful number, since it uses less digits than its factorization.

121400423514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 121400423514 its reverse (415324004121), we get a palindrome (536724427635).

The spelling of 121400423514 in words is "one hundred twenty-one billion, four hundred million, four hundred twenty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 223 279 313 446 558 626 669 837 939 1039 1338 1674 1878 2007 2078 2817 3117 4014 5634 6021 6234 6913 8451 9351 9703 12042 13826 16902 18702 19406 20739 28053 29109 32209 41478 56106 58218 62217 64418 69799 87327 96627 124434 139598 174654 186651 193254 209397 231697 261981 289881 325207 373302 418794 463394 523962 579762 628191 650414 695091 869643 975621 1256382 1390182 1739286 1884573 1951242 2085273 2163769 2926863 3769146 4170546 4327538 5853726 6255819 6491307 7182607 8780589 10081417 12511638 12982614 14365214 17561178 19473921 20162834 21547821 30244251 38947842 43095642 58421763 60488502 64643463 72521161 90732753 116843526 129286926 145042322 181465506 193930389 217563483 272198259 387860778 435126966 544396518 652690449 1305380898 1958071347 2248155991 3916142694 4496311982 6744467973 13488935946 20233403919 40466807838 60700211757 121400423514