Search a number
-
+
31250040940096 = 26112911299135469
BaseRepresentation
bin1110001101011111101111…
…00101101110011001000000
311002122110211002021000100021
413012233313211232121000
513044000040440040341
6150244023130503224
76403512101146666
oct706576745563100
9132573732230307
1031250040940096
119a59082473090
123608573594b14
131458b350cc384
147a071d820c36
15392d42c449d1
hex1c6bf796e640

31250040940096 has 112 divisors (see below), whose sum is σ = 69988678920000. Its totient is φ = 13713436477440.

The previous prime is 31250040940073. The next prime is 31250040940099. The reversal of 31250040940096 is 69004904005213.

It is not an unprimeable number, because it can be changed into a prime (31250040940099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230612650 + ... + 230748118.

Almost surely, 231250040940096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31250040940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34994339460000).

31250040940096 is an abundant number, since it is smaller than the sum of its proper divisors (38738637979904).

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

31250040940096 is a wasteful number, since it uses less digits than its factorization.

31250040940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146820 (or 146810 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 31250040940096 in words is "thirty-one trillion, two hundred fifty billion, forty million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1276 1856 2552 5104 10208 11299 20416 22598 45196 90392 124289 135469 180784 248578 270938 327671 361568 497156 541876 655342 723136 994312 1083752 1310684 1490159 1988624 2167504 2621368 2980318 3604381 3928601 3977248 4335008 5242736 5960636 7208762 7857202 7954496 8670016 10485472 11921272 14417524 15714404 20970944 23842544 28835048 31428808 43214611 47685088 57670096 62857616 86429222 95370176 115340192 125715232 172858444 230680384 251430464 345716888 691433776 1382867552 1530664231 2765735104 3061328462 6122656924 12245313848 16837306541 24490627696 33674613082 44389262699 48981255392 67349226164 88778525398 97962510784 134698452328 177557050796 269396904656 355114101592 488281889689 538793809312 710228203184 976563779378 1077587618624 1420456406368 1953127558756 2840912812736 3906255117512 7812510235024 15625020470048 31250040940096