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145443792936 = 233133135114283
BaseRepresentation
bin1000011101110100100…
…0000010100000101000
3111220102020011012202210
42013131020002200220
54340332102333221
6150452125125120
713336142561511
oct2073510024050
9456366135683
10145443792936
1156756258372
12242309b97a0
131093b656250
14707a613a08
153bb3adc276
hex21dd202828

145443792936 has 128 divisors (see below), whose sum is σ = 404420567040. Its totient is φ = 43285881600.

The previous prime is 145443792863. The next prime is 145443792937. The reversal of 145443792936 is 639297344541.

145443792936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454437929362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145443792937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33956251 + ... + 33960533.

It is an arithmetic number, because the mean of its divisors is an integer number (3159535680).

Almost surely, 2145443792936 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 145443792936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202210283520).

145443792936 is an abundant number, since it is smaller than the sum of its proper divisors (258976774104).

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

145443792936 is a wasteful number, since it uses less digits than its factorization.

145443792936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7843 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 57.

The spelling of 145443792936 in words is "one hundred forty-five billion, four hundred forty-three million, seven hundred ninety-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 3511 4283 4836 7022 8566 9672 10533 12849 14044 17132 21066 25698 28088 34264 42132 45643 51396 55679 84264 91286 102792 108841 111358 132773 136929 167037 182572 217682 222716 265546 273858 326523 334074 365144 398319 435364 445432 531092 547716 653046 668148 796638 870728 1062184 1095432 1306092 1336296 1414933 1593276 1726049 2612184 2829866 3186552 3452098 4244799 5178147 5659732 6904196 8489598 10356294 11319464 13808392 15037613 16979196 20712588 30075226 33958392 41425176 45112839 60150452 90225678 120300904 180451356 195488969 360902712 390977938 466166003 586466907 781955876 932332006 1172933814 1398498009 1563911752 1864664012 2345867628 2796996018 3729328024 4691735256 5593992036 6060158039 11187984072 12120316078 18180474117 24240632156 36360948234 48481264312 72721896468 145443792936