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140501505040 = 24513190770843
BaseRepresentation
bin1000001011011010001…
…0101101010000010000
3111102122210100222022221
42002312202231100100
54300221341130130
6144313454510424
713102521042061
oct2026642552020
9442583328287
10140501505040
115464a489316
1223291805414
1310331753140
146b2c096568
1539c4c8587a
hex20b68ad410

140501505040 has 80 divisors (see below), whose sum is σ = 351983596608. Its totient is φ = 51849543168.

The previous prime is 140501505017. The next prime is 140501505049. The reversal of 140501505040 is 40505105041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 140501504996 and 140501505014.

It is not an unprimeable number, because it can be changed into a prime (140501505049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947859 + ... + 2018701.

Almost surely, 2140501505040 is an apocalyptic number.

140501505040 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 140501505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175991798304).

140501505040 is an abundant number, since it is smaller than the sum of its proper divisors (211482091568).

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

140501505040 is a wasteful number, since it uses less digits than its factorization.

140501505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72776 (or 72770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 140501505040 in words is "one hundred forty billion, five hundred one million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1907 3814 7628 9535 15256 19070 24791 30512 38140 49582 70843 76280 99164 123955 141686 152560 198328 247910 283372 354215 396656 495820 566744 708430 920959 991640 1133488 1416860 1841918 1983280 2833720 3683836 4604795 5667440 7367672 9209590 14735344 18419180 36838360 73676720 135097601 270195202 540390404 675488005 1080780808 1350976010 1756268813 2161561616 2701952020 3512537626 5403904040 7025075252 8781344065 10807808080 14050150504 17562688130 28100301008 35125376260 70250752520 140501505040