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140427746560 = 2851715114271
BaseRepresentation
bin1000001011001000100…
…1010101110100000000
3111102110122120122201101
42002302021111310000
54300044000342220
6144302301544144
713100634102553
oct2026211256400
9442418518641
10140427746560
11546118904a2
1223270b75054
131031c39997a
146b2237669a
1539bd56630a
hex20b2255d00

140427746560 has 144 divisors (see below), whose sum is σ = 356473861632. Its totient is φ = 52819558400.

The previous prime is 140427746479. The next prime is 140427746609. The reversal of 140427746560 is 65647724041.

It is a self number, because there is not a number n which added to its sum of digits gives 140427746560.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32877225 + ... + 32881495.

It is an arithmetic number, because the mean of its divisors is an integer number (2475512928).

Almost surely, 2140427746560 is an apocalyptic number.

140427746560 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 140427746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178236930816).

140427746560 is an abundant number, since it is smaller than the sum of its proper divisors (216046115072).

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

140427746560 is a wasteful number, since it uses less digits than its factorization.

140427746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 140427746560 in words is "one hundred forty billion, four hundred twenty-seven million, seven hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 1511 2176 2720 3022 4271 4352 5440 6044 7555 8542 10880 12088 15110 17084 21355 21760 24176 25687 30220 34168 42710 48352 51374 60440 68336 72607 85420 96704 102748 120880 128435 136672 145214 170840 193408 205496 241760 256870 273344 290428 341680 363035 386816 410992 483520 513740 546688 580856 683360 726070 821984 967040 1027480 1093376 1161712 1366720 1452140 1643968 1934080 2054960 2323424 2733440 2904280 3287936 4109920 4646848 5466880 5808560 6453481 6575872 8219840 9293696 11617120 12906962 16439680 18587392 23234240 25813924 32267405 32879360 46468480 51627848 64534810 92936960 103255696 109709177 129069620 206511392 219418354 258139240 413022784 438836708 516278480 548545885 826045568 877673416 1032556960 1097091770 1652091136 1755346832 2065113920 2194183540 3510693664 4130227840 4388367080 7021387328 8260455680 8776734160 14042774656 17553468320 28085549312 35106936640 70213873280 140427746560