Search a number
-
+
13070909651040 = 2532510189871491
BaseRepresentation
bin1011111000110100111011…
…1011010011100001100000
31201021120022011112000210100
42332031032323103201200
53203123210332313130
643444405404302400
72516225216604033
oct276151673234140
951246264460710
1013070909651040
11418a38381608a
121571291241a00
1373a7736c8207
143328c778b01a
1517a00ea7dc60
hexbe34eed3860

13070909651040 has 144 divisors (see below), whose sum is σ = 45046108192176. Its totient is φ = 3451065216000.

The previous prime is 13070909651003. The next prime is 13070909651057. The reversal of 13070909651040 is 4015690907031.

13070909651040 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 0 + 9 + 0 + 96 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130709096510402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44790306 + ... + 45081185.

It is an arithmetic number, because the mean of its divisors is an integer number (312820195779).

Almost surely, 213070909651040 is an apocalyptic number.

13070909651040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13070909651040 is an abundant number, since it is smaller than the sum of its proper divisors (31975198541136).

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

13070909651040 is a wasteful number, since it uses less digits than its factorization.

13070909651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89871613 (or 89871602 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13070909651040 in words is "thirteen trillion, seventy billion, nine hundred nine million, six hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 16160 18180 24240 29088 36360 48480 72720 145440 89871491 179742982 269614473 359485964 449357455 539228946 718971928 808843419 898714910 1078457892 1348072365 1437943856 1617686838 1797429820 2156915784 2696144730 2875887712 3235373676 3594859640 4044217095 4313831568 5392289460 6470747352 7189719280 8088434190 8627663136 9077020591 10784578920 12941494704 14379438560 16176868380 18154041182 21569157840 25882989408 27231061773 32353736760 36308082364 43138315680 45385102955 54462123546 64707473520 72616164728 81693185319 90770205910 108924247092 129414947040 136155308865 145232329456 163386370638 181540411820 217848494184 272310617730 290464658912 326772741276 363080823640 408465926595 435696988368 544621235460 653545482552 726161647280 816931853190 871393976736 1089242470920 1307090965104 1452323294560 1633863706380 2178484941840 2614181930208 3267727412760 4356969883680 6535454825520 13070909651040