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145201388320 = 2552359668761
BaseRepresentation
bin1000011100111010101…
…1010101101100100000
3111212210100000210011001
42013032223111230200
54334333023411240
6150412105401344
713330140302512
oct2071653255440
9455710023131
10145201388320
115664144217a
1224183799254
1310900372a71
147056353bb2
153b9c6a889a
hex21cead5b20

145201388320 has 96 divisors (see below), whose sum is σ = 364020531840. Its totient is φ = 54613616640.

The previous prime is 145201388291. The next prime is 145201388359. The reversal of 145201388320 is 23883102541.

It is a self number, because there is not a number n which added to its sum of digits gives 145201388320.

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, 117261 + ... + 551500.

It is an arithmetic number, because the mean of its divisors is an integer number (3791880540).

Almost surely, 2145201388320 is an apocalyptic number.

145201388320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145201388320 is an abundant number, since it is smaller than the sum of its proper divisors (218819143520).

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

145201388320 is a wasteful number, since it uses less digits than its factorization.

145201388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668858 (or 668850 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 145201388320 in words is "one hundred forty-five billion, two hundred one million, three hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 59 80 92 115 118 160 184 230 236 295 368 460 472 590 736 920 944 1180 1357 1840 1888 2360 2714 3680 4720 5428 6785 9440 10856 13570 21712 27140 43424 54280 108560 217120 668761 1337522 2675044 3343805 5350088 6687610 10700176 13375220 15381503 21400352 26750440 30763006 39456899 53500880 61526012 76907515 78913798 107001760 123052024 153815030 157827596 197284495 246104048 307630060 315655192 394568990 492208096 615260120 631310384 789137980 907508677 1230520240 1262620768 1578275960 1815017354 2461040480 3156551920 3630034708 4537543385 6313103840 7260069416 9075086770 14520138832 18150173540 29040277664 36300347080 72600694160 145201388320