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145454101604 = 227295916991787
BaseRepresentation
bin1000011101110110111…
…1010111010001100100
3111220102221112221121022
42013131233113101210
54340342222222404
6150453134110312
713336326315110
oct2073557272144
9456387487538
10145454101604
1156761059429
122423434b398
1310940825456
14707bb38740
153bb49768be
hex21ddbd7464

145454101604 has 96 divisors (see below), whose sum is σ = 306391680000. Its totient is φ = 59099854464.

The previous prime is 145454101603. The next prime is 145454101643. The reversal of 145454101604 is 406101454541.

It is not an unprimeable number, because it can be changed into a prime (145454101603) 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, 81394799 + ... + 81396585.

It is an arithmetic number, because the mean of its divisors is an integer number (3191580000).

Almost surely, 2145454101604 is an apocalyptic number.

145454101604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145454101604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153195840000).

145454101604 is an abundant number, since it is smaller than the sum of its proper divisors (160937578396).

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

145454101604 is a wasteful number, since it uses less digits than its factorization.

145454101604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 145454101604 in words is "one hundred forty-five billion, four hundred fifty-four million, one hundred one thousand, six hundred four".

Divisors: 1 2 4 7 14 28 29 58 59 116 118 203 236 406 413 812 826 1652 1699 1711 1787 3398 3422 3574 6796 6844 7148 11893 11977 12509 23786 23954 25018 47572 47908 49271 50036 51823 98542 100241 103646 105433 197084 200482 207292 210866 344897 362761 400964 421732 689794 701687 725522 738031 1379588 1403374 1451044 1476062 2806748 2906989 2952124 3036113 3057557 5813978 6072226 6115114 11627956 12144452 12230228 20348923 21252791 21402899 40697846 42505582 42805798 81395692 85011164 85611596 88047277 176094554 179130667 352189108 358261334 616330939 716522668 1232661878 1253914669 2465323756 2507829338 5015658676 5194789343 10389578686 20779157372 36363525401 72727050802 145454101604