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42400101400514 = 211138771367123661
BaseRepresentation
bin10011010010000000010101…
…11110110111111111000010
312120010102001222010220121222
421221000022332313333002
521024140401424304024
6230102200534515042
711634210016250114
oct1151001276677702
9176112058126558
1042400101400514
1112567866965a30
124909510205a82
131a8740a481270
14a682667a53b4
154d7dcd47285e
hex26900afb7fc2

42400101400514 has 64 divisors (see below), whose sum is σ = 74859585115392. Its totient is φ = 17756824147200.

The previous prime is 42400101400511. The next prime is 42400101400633. The reversal of 42400101400514 is 41500410100424.

It is a super-3 number, since 3×424001014005143 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (42400101400511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342811844 + ... + 342935504.

It is an arithmetic number, because the mean of its divisors is an integer number (1169681017428).

Almost surely, 242400101400514 is an apocalyptic number.

42400101400514 is a deficient number, since it is larger than the sum of its proper divisors (32459483714878).

42400101400514 is a wasteful number, since it uses less digits than its factorization.

42400101400514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125931.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 42400101400514 its reverse (41500410100424), we get a palindrome (83900511500938).

The spelling of 42400101400514 in words is "forty-two trillion, four hundred billion, one hundred one million, four hundred thousand, five hundred fourteen".

Divisors: 1 2 11 13 22 26 143 286 877 1367 1754 2734 9647 11401 15037 17771 19294 22802 30074 35542 123661 125411 195481 247322 250822 390962 1198859 1360271 1607593 2397718 2720542 3215186 13187449 15585167 17683523 26374898 31170334 35367046 108450697 169044587 171436837 216901394 338089174 342873674 1192957667 1409859061 1859490457 2197579631 2385915334 2819718122 3718980914 4395159262 15508449671 24173375941 31016899342 48346751882 148252102799 296504205598 1630773130789 1927277336387 3261546261578 3854554672774 21200050700257 42400101400514