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144071640 = 23325400199
BaseRepresentation
bin10001001011001…
…01101111011000
3101001002121010200
420211211233120
5243340243030
622143542200
73366405636
oct1045455730
9331077120
10144071640
1174363179
12402ba960
1323b046bb
14151c4356
15c9acd60
hex8965bd8

144071640 has 48 divisors (see below), whose sum is σ = 468234000. Its totient is φ = 38419008.

The previous prime is 144071633. The next prime is 144071671. The reversal of 144071640 is 46170441.

144071640 is a `hidden beast` number, since 14 + 4 + 0 + 7 + 1 + 640 = 666.

144071640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199740 + ... + 200459.

It is an arithmetic number, because the mean of its divisors is an integer number (9754875).

Almost surely, 2144071640 is an apocalyptic number.

144071640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144071640 is an abundant number, since it is smaller than the sum of its proper divisors (324162360).

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

144071640 is a wasteful number, since it uses less digits than its factorization.

144071640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400216 (or 400209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144071640 is about 12002.9846288329. The cubic root of 144071640 is about 524.2351856876.

The spelling of 144071640 in words is "one hundred forty-four million, seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 400199 800398 1200597 1600796 2000995 2401194 3201592 3601791 4001990 4802388 6002985 7203582 8003980 9604776 12005970 14407164 16007960 18008955 24011940 28814328 36017910 48023880 72035820 144071640