Search a number
-
+
31214404010040 = 23357319718087757
BaseRepresentation
bin1110001100011101010110…
…11101101000000000111000
311002112001211111002101121220
413012032223131220000320
513042404044411310130
6150215411011432040
76401111013223506
oct706165335500070
9132461744071556
1031214404010040
119a44a55340079
1236016888b5620
131455675c4c704
1479cadc8b7676
15391e592ee410
hex1c63ab768038

31214404010040 has 128 divisors (see below), whose sum is σ = 95407858877760. Its totient is φ = 8168141205504.

The previous prime is 31214404010039. The next prime is 31214404010057. The reversal of 31214404010040 is 4001040441213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7318159 + ... + 10769598.

Almost surely, 231214404010040 is an apocalyptic number.

31214404010040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31214404010040 is an abundant number, since it is smaller than the sum of its proper divisors (64193454867720).

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

31214404010040 is a wasteful number, since it uses less digits than its factorization.

31214404010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18088041 (or 18088037 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31214404010040 its reverse (4001040441213), we get a palindrome (35215444451253).

The spelling of 31214404010040 in words is "thirty-one trillion, two hundred fourteen billion, four hundred four million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 197 219 292 365 394 438 584 591 730 788 876 985 1095 1182 1460 1576 1752 1970 2190 2364 2920 2955 3940 4380 4728 5910 7880 8760 11820 14381 23640 28762 43143 57524 71905 86286 115048 143810 172572 215715 287620 345144 431430 575240 862860 1725720 18087757 36175514 54263271 72351028 90438785 108526542 144702056 180877570 217053084 271316355 361755140 434106168 542632710 723510280 1085265420 1320406261 2170530840 2640812522 3563288129 3961218783 5281625044 6602031305 7126576258 7922437566 10563250088 10689864387 13204062610 14253152516 15844875132 17816440645 19806093915 21379728774 26408125220 28506305032 31689750264 35632881290 39612187830 42759457548 52816250440 53449321935 71265762580 79224375660 85518915096 106898643870 142531525160 158448751320 213797287740 260120033417 427594575480 520240066834 780360100251 1040480133668 1300600167085 1560720200502 2080960267336 2601200334170 3121440401004 3901800501255 5202400668340 6242880802008 7803601002510 10404801336680 15607202005020 31214404010040