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140052466560 = 2735149489557
BaseRepresentation
bin1000001001101111000…
…1110000101110000000
3111101111111102110100010
42002123301300232000
54243311412412220
6144201134224520
713055426216016
oct2023361605600
9441444373303
10140052466560
1154439a6a036
1223187355140
131028c701cb6
146ac85a88b6
15399a6371e0
hex209bc70b80

140052466560 has 128 divisors (see below), whose sum is σ = 449414244000. Its totient is φ = 37096595456.

The previous prime is 140052466501. The next prime is 140052466573. The reversal of 140052466560 is 65664250041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1400524665602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41302 + ... + 530858.

Almost surely, 2140052466560 is an apocalyptic number.

140052466560 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 140052466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224707122000).

140052466560 is an abundant number, since it is smaller than the sum of its proper divisors (309361777440).

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

140052466560 is a wasteful number, since it uses less digits than its factorization.

140052466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489728 (or 489716 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 140052466560 in words is "one hundred forty billion, fifty-two million, four hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 298 320 384 447 480 596 640 745 894 960 1192 1490 1788 1920 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 11920 14304 17880 19072 23840 28608 35760 47680 57216 71520 95360 143040 286080 489557 979114 1468671 1958228 2447785 2937342 3916456 4895570 5874684 7343355 7832912 9791140 11749368 14686710 15665824 19582280 23498736 29373420 31331648 39164560 46997472 58746840 62663296 72943993 78329120 93994944 117493680 145887986 156658240 187989888 218831979 234987360 291775972 313316480 364719965 437663958 469974720 583551944 729439930 875327916 939949440 1094159895 1167103888 1458879860 1750655832 2188319790 2334207776 2917759720 3501311664 4376639580 4668415552 5835519440 7002623328 8753279160 9336831104 11671038880 14005246656 17506558320 23342077760 28010493312 35013116640 46684155520 70026233280 140052466560