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141944228240 = 24529271225767
BaseRepresentation
bin1000010000110010001…
…0010000100110010000
3111120101100002220111112
42010030202100212100
54311200210300430
6145112553232452
713153340014133
oct2041442204620
9446340086445
10141944228240
115521a8a8641
1223614a02728
131050160cac9
146c2792a21a
153a5b769195
hex210c890990

141944228240 has 80 divisors (see below), whose sum is σ = 342661639680. Its totient is φ = 54617310720.

The previous prime is 141944228233. The next prime is 141944228287. The reversal of 141944228240 is 42822449141.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515837 + ... + 741603.

It is an arithmetic number, because the mean of its divisors is an integer number (4283270496).

Almost surely, 2141944228240 is an apocalyptic number.

141944228240 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 141944228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171330819840).

141944228240 is an abundant number, since it is smaller than the sum of its proper divisors (200717411440).

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

141944228240 is a wasteful number, since it uses less digits than its factorization.

141944228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226080 (or 226074 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 141944228240 in words is "one hundred forty-one billion, nine hundred forty-four million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 271 290 464 542 580 1084 1160 1355 2168 2320 2710 4336 5420 7859 10840 15718 21680 31436 39295 62872 78590 125744 157180 225767 314360 451534 628720 903068 1128835 1806136 2257670 3612272 4515340 6547243 9030680 13094486 18061360 26188972 32736215 52377944 61182857 65472430 104755888 122365714 130944860 244731428 261889720 305914285 489462856 523779440 611828570 978925712 1223657140 1774302853 2447314280 3548605706 4894628560 7097211412 8871514265 14194422824 17743028530 28388845648 35486057060 70972114120 141944228240