Search a number
-
+
131045404141200 = 24352199548766349
BaseRepresentation
bin11101110010111101100010…
…110000110110011010010000
3122011222211002112100001211010
4131302331202300312122100
5114134021441430004300
61142413232204450520
736413501164246143
oct3562754260663220
9564884075301733
10131045404141200
113883405332245a
1212845588849a40
1358176b43c3363
1424508ba7d605a
151023bd1e7da50
hex772f62c36690

131045404141200 has 120 divisors (see below), whose sum is σ = 421891569880000. Its totient is φ = 34769835809280.

The previous prime is 131045404141189. The next prime is 131045404141279. The reversal of 131045404141200 is 2141404540131.

131045404141200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274144375 + ... + 274621974.

Almost surely, 2131045404141200 is an apocalyptic number.

131045404141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131045404141200 is an abundant number, since it is smaller than the sum of its proper divisors (290846165738800).

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

131045404141200 is a wasteful number, since it uses less digits than its factorization.

131045404141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548766569 (or 548766558 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 131045404141200 its reverse (2141404540131), we get a palindrome (133186808681331).

The spelling of 131045404141200 in words is "one hundred thirty-one trillion, forty-five billion, four hundred four million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 199 200 240 300 398 400 597 600 796 995 1194 1200 1592 1990 2388 2985 3184 3980 4776 4975 5970 7960 9552 9950 11940 14925 15920 19900 23880 29850 39800 47760 59700 79600 119400 238800 548766349 1097532698 1646299047 2195065396 2743831745 3292598094 4390130792 5487663490 6585196188 8231495235 8780261584 10975326980 13170392376 13719158725 16462990470 21950653960 26340784752 27438317450 32925980940 41157476175 43901307920 54876634900 65851961880 82314952350 109204503451 109753269800 131703923760 164629904700 218409006902 219506539600 327613510353 329259809400 436818013804 546022517255 655227020706 658519618800 873636027608 1092045034510 1310454041412 1638067551765 1747272055216 2184090069020 2620908082824 2730112586275 3276135103530 4368180138040 5241816165648 5460225172550 6552270207060 8190337758825 8736360276080 10920450345100 13104540414120 16380675517650 21840900690200 26209080828240 32761351035300 43681801380400 65522702070600 131045404141200