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140202130400 = 25522315748533
BaseRepresentation
bin1000001010010010110…
…0101011101111100000
3111101212221001011112022
42002210230223233200
54244113221133100
6144224042121012
713062224305523
oct2024454535740
9441787034468
10140202130400
11545064a1762
12232094b0168
13102b4713b97
146b00406bba
1539a884be85
hex20a4b2bbe0

140202130400 has 144 divisors (see below), whose sum is σ = 359431932384. Its totient is φ = 53299783680.

The previous prime is 140202130373. The next prime is 140202130451. The reversal of 140202130400 is 4031202041.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2864534 + ... + 2913066.

It is an arithmetic number, because the mean of its divisors is an integer number (2496055086).

Almost surely, 2140202130400 is an apocalyptic number.

140202130400 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 140202130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179715966192).

140202130400 is an abundant number, since it is smaller than the sum of its proper divisors (219229801984).

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

140202130400 is a wasteful number, since it uses less digits than its factorization.

140202130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48733 (or 48720 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 140202130400 its reverse (4031202041), we get a palindrome (144233332441).

The spelling of 140202130400 in words is "one hundred forty billion, two hundred two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 157 160 184 200 230 314 368 400 460 575 628 736 785 800 920 1150 1256 1570 1840 2300 2512 3140 3611 3680 3925 4600 5024 6280 7222 7850 9200 12560 14444 15700 18055 18400 25120 28888 31400 36110 48533 57776 62800 72220 90275 97066 115552 125600 144440 180550 194132 242665 288880 361100 388264 485330 577760 722200 776528 970660 1116259 1213325 1444400 1553056 1941320 2232518 2426650 2888800 3882640 4465036 4853300 5581295 7619681 7765280 8930072 9706600 11162590 15239362 17860144 19413200 22325180 27906475 30478724 35720288 38098405 38826400 44650360 55812950 60957448 76196810 89300720 111625900 121914896 152393620 175252663 178601440 190492025 223251800 243829792 304787240 350505326 380984050 446503600 609574480 701010652 761968100 876263315 893007200 1219148960 1402021304 1523936200 1752526630 2804042608 3047872400 3505053260 4381316575 5608085216 6095744800 7010106520 8762633150 14020213040 17525266300 28040426080 35050532600 70101065200 140202130400