Search a number
-
+
31039821317712 = 243291071102718899
BaseRepresentation
bin1110000111011000001011…
…00001100000011001010000
311001220101012111221201110010
413003230011201200121100
513032024023224131322
6150003255210434520
76352360464636354
oct703540541403120
9131811174851403
1031039821317712
119987a06a22379
123593885432a40
13144207275817c
1479449a36b464
1538c63c4ce20c
hex1c3b05860650

31039821317712 has 160 divisors (see below), whose sum is σ = 83738515392000. Its totient is φ = 9895043597824.

The previous prime is 31039821317671. The next prime is 31039821317719. The reversal of 31039821317712 is 21771312893013.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31039821317719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1642396039 + ... + 1642414937.

It is an arithmetic number, because the mean of its divisors is an integer number (523365721200).

Almost surely, 231039821317712 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 31039821317712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41869257696000).

31039821317712 is an abundant number, since it is smaller than the sum of its proper divisors (52698694074288).

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

31039821317712 is a wasteful number, since it uses less digits than its factorization.

31039821317712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30073 (or 30067 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 31039821317712 in words is "thirty-one trillion, thirty-nine billion, eight hundred twenty-one million, three hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1712 2568 3103 5136 6206 9309 11027 12412 18618 18899 22054 24824 33081 37236 37798 44108 49648 56697 66162 74472 75596 88216 113394 132324 148944 151192 176432 226788 264648 302384 319783 453576 529296 548071 639566 907152 959349 1096142 1179889 1279132 1644213 1918698 2022193 2192284 2359778 2558264 3288426 3539667 3837396 4044386 4384568 4719556 5116528 6066579 6576852 7079334 7674792 8088772 8769136 9439112 12133158 13153704 14158668 15349584 16177544 18878224 24266316 26307408 28317336 32355088 34216781 48532632 56634672 58643597 68433562 97065264 102650343 117287194 136867124 175930791 205300686 208399273 234574388 273734248 351861582 410601372 416798546 469148776 547468496 625197819 703723164 821202744 833597092 938297552 1250395638 1407446328 1642405488 1667194184 2500791276 2814892656 3334388368 5001582552 6043578917 10003165104 12087157834 18130736751 22298722211 24174315668 36261473502 44597444422 48348631336 66896166633 72522947004 89194888844 96697262672 133792333266 145045894008 178389777688 267584666532 290091788016 356779555376 535169333064 646662944119 1070338666128 1293325888238 1939988832357 2586651776476 3879977664714 5173303552952 7759955329428 10346607105904 15519910658856 31039821317712