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140948424 = 2334443491
BaseRepresentation
bin10000110011010…
…11001111001000
3100211012220220000
420121223033020
5242040322144
621553003000
73331020231
oct1031531710
9324186800
10140948424
117261a701
123b253460
132327cc46
1414a10088
15c592769
hex866b3c8

140948424 has 80 divisors (see below), whose sum is σ = 396483120. Its totient is φ = 46781280.

The previous prime is 140948407. The next prime is 140948443. The reversal of 140948424 is 424849041.

140948424 is a `hidden beast` number, since 140 + 94 + 8 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 286819 + ... + 287309.

It is an arithmetic number, because the mean of its divisors is an integer number (4956039).

Almost surely, 2140948424 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 140948424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198241560).

140948424 is an abundant number, since it is smaller than the sum of its proper divisors (255534696).

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

140948424 is a wasteful number, since it uses less digits than its factorization.

140948424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 140948424 is about 11872.1701470287. The cubic root of 140948424 is about 520.4193166137.

The spelling of 140948424 in words is "one hundred forty million, nine hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 443 491 648 886 982 1329 1473 1772 1964 2658 2946 3544 3928 3987 4419 5316 5892 7974 8838 10632 11784 11961 13257 15948 17676 23922 26514 31896 35352 35883 39771 47844 53028 71766 79542 95688 106056 143532 159084 217513 287064 318168 435026 652539 870052 1305078 1740104 1957617 2610156 3915234 5220312 5872851 7830468 11745702 15660936 17618553 23491404 35237106 46982808 70474212 140948424