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145231413513342 = 231331218611041109
BaseRepresentation
bin100001000001011001010010…
…110100000000110001111110
3201001012222122220201011122220
4201001121102310000301332
5123013432413324411332
61232514220150150210
742406423546331232
oct4101312264006176
9631188586634586
10145231413513342
1142303329831482
12143569a2652366
136306356c89440
1427c1348bcc5c2
1511bcc07e1ed2c
hex841652d00c7e

145231413513342 has 96 divisors (see below), whose sum is σ = 323396134699680. Its totient is φ = 43221806841600.

The previous prime is 145231413513331. The next prime is 145231413513349. The reversal of 145231413513342 is 243315314132541.

It is a junction number, because it is equal to n+sod(n) for n = 145231413513294 and 145231413513303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145231413513349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138976284 + ... + 140017392.

It is an arithmetic number, because the mean of its divisors is an integer number (3368709736455).

Almost surely, 2145231413513342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145231413513342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161698067349840).

145231413513342 is an abundant number, since it is smaller than the sum of its proper divisors (178164721186338).

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

145231413513342 is a wasteful number, since it uses less digits than its factorization.

145231413513342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043050 (or 1043019 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

Adding to 145231413513342 its reverse (243315314132541), we get a palindrome (388546727645883).

The spelling of 145231413513342 in words is "one hundred forty-five trillion, two hundred thirty-one billion, four hundred thirteen million, five hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 961 1209 1861 1922 2418 2883 3722 5583 5766 11166 12493 24193 24986 37479 48386 57691 72579 74958 115382 145158 173073 346146 749983 1041109 1499966 1788421 2082218 2249949 3123327 3576842 4499898 5365263 6246654 10730526 13534417 23249473 27068834 32274379 40603251 46498946 64548758 69748419 81206502 96823137 139496838 193646274 419566927 839133854 1000505749 1258700781 1937503849 2001011498 2517401562 3001517247 3875007698 5812511547 6003034494 11625023094 13006574737 25187550037 26013149474 39019724211 50375100074 60062619319 75562650111 78039448422 120125238638 151125300222 180187857957 360375715914 780814051147 1561628102294 1861941198889 2342442153441 3723882397778 4684884306882 5585823596667 11171647193334 24205235585557 48410471171114 72615706756671 145231413513342