Search a number
-
+
131333124434304 = 27313109241364393
BaseRepresentation
bin11101110111001001100000…
…001110101010100110000000
3122020000022202020211100111010
4131313021200032222212000
5114203230214323344204
61143153334321120520
736443335153345002
oct3567114016524600
9566008666740433
10131333124434304
1138935079994161
12128912a5789140
1358388781462c0
1424607b2b0a372
15102b42156ad89
hex7772603aa980

131333124434304 has 128 divisors (see below), whose sum is σ = 379135190095200. Its totient is φ = 40039456260096.

The previous prime is 131333124434269. The next prime is 131333124434321. The reversal of 131333124434304 is 403434421333131.

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

It is a super-3 number, since 3×1313331244343043 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 120138069 + ... + 121226324.

Almost surely, 2131333124434304 is an apocalyptic number.

It is an amenable number.

131333124434304 is an abundant number, since it is smaller than the sum of its proper divisors (247802065660896).

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

131333124434304 is a wasteful number, since it uses less digits than its factorization.

131333124434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241364532 (or 241364520 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

Adding to 131333124434304 its reverse (403434421333131), we get a palindrome (534767545767435).

The spelling of 131333124434304 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, one hundred twenty-four million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 312 327 384 416 436 624 654 832 872 1248 1308 1417 1664 1744 2496 2616 2834 3488 4251 4992 5232 5668 6976 8502 10464 11336 13952 17004 20928 22672 34008 41856 45344 68016 90688 136032 181376 272064 544128 241364393 482728786 724093179 965457572 1448186358 1930915144 2896372716 3137737109 3861830288 5792745432 6275474218 7723660576 9413211327 11585490864 12550948436 15447321152 18826422654 23170981728 25101896872 26308718837 30894642304 37652845308 46341963456 50203793744 52617437674 75305690616 78926156511 92683926912 100407587488 105234875348 150611381232 157852313022 200815174976 210469750696 301222762464 315704626044 342013344881 401630349952 420939501392 602445524928 631409252088 684026689762 841879002784 1026040034643 1204891049856 1262818504176 1368053379524 1683758005568 2052080069286 2525637008352 2736106759048 3367516011136 4104160138572 5051274016704 5472213518096 8208320277144 10102548033408 10944427036192 16416640554288 21888854072384 32833281108576 43777708144768 65666562217152 131333124434304