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142121420042144 = 2583139384960941
BaseRepresentation
bin100000010100001000111000…
…110000011010111110100000
3200122012200020010022121200012
4200110020320300122332200
5122112004132012322034
61222133402400544052
741635635164105114
oct4024107060327640
9618180203277605
10142121420042144
11413143a05748a4
1213b34100022028
13613bcb940724a
1427149db931744
151166d86e72cce
hex814238c1afa0

142121420042144 has 48 divisors (see below), whose sum is σ = 285209862708960. Its totient is φ = 69699487952640.

The previous prime is 142121420042117. The next prime is 142121420042153. The reversal of 142121420042144 is 441240024121241.

It is a happy number.

It is a super-2 number, since 2×1421214200421442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 142121420042144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192111287 + ... + 192849654.

It is an arithmetic number, because the mean of its divisors is an integer number (5941872139770).

Almost surely, 2142121420042144 is an apocalyptic number.

It is an amenable number.

142121420042144 is an abundant number, since it is smaller than the sum of its proper divisors (143088442666816).

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

142121420042144 is a wasteful number, since it uses less digits than its factorization.

142121420042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384961173 (or 384961165 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 142121420042144 its reverse (441240024121241), we get a palindrome (583361444163385).

The spelling of 142121420042144 in words is "one hundred forty-two trillion, one hundred twenty-one billion, four hundred twenty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 83 139 166 278 332 556 664 1112 1328 2224 2656 4448 11537 23074 46148 92296 184592 369184 384960941 769921882 1539843764 3079687528 6159375056 12318750112 31951758103 53509570799 63903516206 107019141598 127807032412 214038283196 255614064824 428076566392 511228129648 856153132784 1022456259296 1712306265568 4441294376317 8882588752634 17765177505268 35530355010536 71060710021072 142121420042144