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140504771100 = 223523978631367
BaseRepresentation
bin1000001011011010111…
…1001010101000011100
3111102200000111220112010
42002312233022220130
54300223210133400
6144314052511220
713102560564111
oct2026657125034
9442600456463
10140504771100
115465130a141
122329291b510
1310332327915
146b2c6a6908
1539c51cd450
hex20b6bcaa1c

140504771100 has 144 divisors (see below), whose sum is σ = 408321865728. Its totient is φ = 37302946560.

The previous prime is 140504771059. The next prime is 140504771119. The reversal of 140504771100 is 1177405041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102782617 + ... + 102783983.

It is an arithmetic number, because the mean of its divisors is an integer number (2835568512).

Almost surely, 2140504771100 is an apocalyptic number.

140504771100 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 140504771100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204160932864).

140504771100 is an abundant number, since it is smaller than the sum of its proper divisors (267817094628).

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

140504771100 is a wasteful number, since it uses less digits than its factorization.

140504771100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The spelling of 140504771100 in words is "one hundred forty billion, five hundred four million, seven hundred seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 397 794 863 1191 1367 1588 1726 1985 2382 2589 2734 3452 3970 4101 4315 4764 5178 5468 5955 6835 7940 8202 8630 9925 10356 11910 12945 13670 16404 17260 19850 20505 21575 23820 25890 27340 29775 34175 39700 41010 43150 51780 59550 64725 68350 82020 86300 102525 119100 129450 136700 205050 258900 342611 410100 542699 685222 1027833 1085398 1179721 1370444 1628097 1713055 2055666 2170796 2359442 2713495 3256194 3426110 3539163 4111332 4718884 5139165 5426990 5898605 6512388 6852220 7078326 8140485 8565275 10278330 10853980 11797210 13567475 14156652 16280970 17130550 17695815 20556660 23594420 25695825 27134950 29493025 32561940 34261100 35391630 40702425 51391650 54269900 58986050 70783260 81404850 88479075 102783300 117972100 162809700 176958150 353916300 468349237 936698474 1405047711 1873396948 2341746185 2810095422 4683492370 5620190844 7025238555 9366984740 11708730925 14050477110 23417461850 28100954220 35126192775 46834923700 70252385550 140504771100