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140677446330 = 233523157144289
BaseRepresentation
bin1000001100000100000…
…1110111101010111010
3111110010001102201102000
42003001001313222322
54301101411240310
6144343141521430
713110055364331
oct2030101675272
9443101381360
10140677446330
115472a829643
1223320713276
131035c035805
146b475b4d18
1539d543b4c0
hex20c1077aba

140677446330 has 128 divisors (see below), whose sum is σ = 393946329600. Its totient is φ = 35654141952.

The previous prime is 140677446319. The next prime is 140677446347. The reversal of 140677446330 is 33644776041.

140677446330 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 7 + 7 + 4 + 4 + 633 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902826 + ... + 1047114.

It is an arithmetic number, because the mean of its divisors is an integer number (3077705700).

Almost surely, 2140677446330 is an apocalyptic number.

140677446330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140677446330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196973164800).

140677446330 is an abundant number, since it is smaller than the sum of its proper divisors (253268883270).

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

140677446330 is a wasteful number, since it uses less digits than its factorization.

140677446330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144485 (or 144479 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 140677446330 in words is "one hundred forty billion, six hundred seventy-seven million, four hundred forty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 157 207 230 270 314 345 414 471 621 690 785 942 1035 1242 1413 1570 2070 2355 2826 3105 3611 4239 4710 6210 7065 7222 8478 10833 14130 18055 21195 21666 32499 36110 42390 54165 64998 97497 108330 144289 162495 194994 288578 324990 432867 487485 721445 865734 974970 1298601 1442890 2164335 2597202 3318647 3895803 4328670 6493005 6637294 7791606 9955941 12986010 16593235 19479015 19911882 22653373 29867823 33186470 38958030 45306746 49779705 59735646 67960119 89603469 99559410 113266865 135920238 149339115 179206938 203880357 226533730 298678230 339800595 407760714 448017345 521027579 611641071 679601190 896034690 1019401785 1042055158 1223282142 1563082737 2038803570 2605137895 3058205355 3126165474 4689248211 5210275790 6116410710 7815413685 9378496422 14067744633 15630827370 23446241055 28135489266 46892482110 70338723165 140677446330