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145005531040 = 25517307173651
BaseRepresentation
bin1000011100001100000…
…0001100111110100000
3111212021200111012110201
42013003000030332200
54333432403443130
6150340431434544
713322241451156
oct2070300147640
9455250435421
10145005531040
1156550929757
122412a085a54
131089b909296
14703832d3d6
153b8a3bbbca
hex21c300cfa0

145005531040 has 96 divisors (see below), whose sum is σ = 363910688064. Its totient is φ = 54412185600.

The previous prime is 145005531037. The next prime is 145005531067. The reversal of 145005531040 is 40135500541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748215 + ... + 921865.

It is an arithmetic number, because the mean of its divisors is an integer number (3790736334).

Almost surely, 2145005531040 is an apocalyptic number.

145005531040 is a gapful number since it is divisible by the number (10) 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 145005531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181955344032).

145005531040 is an abundant number, since it is smaller than the sum of its proper divisors (218905157024).

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

145005531040 is a wasteful number, since it uses less digits than its factorization.

145005531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173990 (or 173982 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 145005531040 in words is "one hundred forty-five billion, five million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 307 340 544 614 680 1228 1360 1535 2456 2720 3070 4912 5219 6140 9824 10438 12280 20876 24560 26095 41752 49120 52190 83504 104380 167008 173651 208760 347302 417520 694604 835040 868255 1389208 1736510 2778416 2952067 3473020 5556832 5904134 6946040 11808268 13892080 14760335 23616536 27784160 29520670 47233072 53310857 59041340 94466144 106621714 118082680 213243428 236165360 266554285 426486856 472330720 533108570 852973712 906284569 1066217140 1705947424 1812569138 2132434280 3625138276 4264868560 4531422845 7250276552 8529737120 9062845690 14500553104 18125691380 29001106208 36251382760 72502765520 145005531040