Search a number
-
+
145477990476 = 2232713127349663
BaseRepresentation
bin1000011101111100101…
…0011111100001001100
3111220111121111121222100
42013133022133201030
54340414331143401
6150455350115100
713340036342010
oct2073712374114
9456447447870
10145477990476
11567735954a5
122424034ba90
131094576a990
147080d96540
153bb6ae4b86
hex21df29f84c

145477990476 has 144 divisors (see below), whose sum is σ = 456163262464. Its totient is φ = 38065603968.

The previous prime is 145477990381. The next prime is 145477990523. The reversal of 145477990476 is 674099774541.

145477990476 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 7 + 79 + 90 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241221 + ... + 590883.

Almost surely, 2145477990476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145477990476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228081631232).

145477990476 is an abundant number, since it is smaller than the sum of its proper divisors (310685271988).

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

145477990476 is a wasteful number, since it uses less digits than its factorization.

145477990476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349820 (or 349815 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 145477990476 in words is "one hundred forty-five billion, four hundred seventy-seven million, nine hundred ninety thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 127 156 182 234 252 254 273 364 381 468 508 546 762 819 889 1092 1143 1524 1638 1651 1778 2286 2667 3276 3302 3556 4572 4953 5334 6604 8001 9906 10668 11557 14859 16002 19812 23114 29718 32004 34671 46228 59436 69342 104013 138684 208026 349663 416052 699326 1048989 1398652 2097978 2447641 3146967 4195956 4545619 4895282 6293934 7342923 9091238 9790564 12587868 13636857 14685846 18182476 22028769 27273714 29371692 31819333 40910571 44057538 44407201 54547428 63638666 81821142 88115076 88814402 95457999 127277332 133221603 163642284 177628804 190915998 266443206 286373997 310850407 381831996 399664809 532886412 572747994 577293613 621700814 799329618 932551221 1145495988 1154587226 1243401628 1598659236 1731880839 1865102442 2309174452 2797653663 3463761678 3730204884 4041055291 5195642517 5595307326 6927523356 8082110582 10391285034 11190614652 12123165873 16164221164 20782570068 24246331746 36369497619 48492663492 72738995238 145477990476