Search a number
-
+
31445102243544 = 233116713113570723
BaseRepresentation
bin1110010011001011000100…
…01001100010111011011000
311010100010022020111220210120
413021211202021202323120
513110144032133243134
6150513402555313240
76423555642652533
oct711454211427330
9133303266456716
1031445102243544
11a02387a498490
12363a33114b820
1314713501a4ca2
147a9d45a3ba1a
15397e5c821649
hex1c9962262ed8

31445102243544 has 128 divisors (see below), whose sum is σ = 87703789409280. Its totient is φ = 9314943580800.

The previous prime is 31445102243531. The next prime is 31445102243551. The reversal of 31445102243544 is 44534220154413.

It is a super-3 number, since 3×314451022435443 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31445102243496 and 31445102243505.

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, 4468234 + ... + 9102489.

It is an arithmetic number, because the mean of its divisors is an integer number (685185854760).

Almost surely, 231445102243544 is an apocalyptic number.

It is an amenable number.

31445102243544 is an abundant number, since it is smaller than the sum of its proper divisors (56258687165736).

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

31445102243544 is a wasteful number, since it uses less digits than its factorization.

31445102243544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13570941 (or 13570937 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 31445102243544 its reverse (44534220154413), we get a palindrome (75979322397957).

The spelling of 31445102243544 in words is "thirty-one trillion, four hundred forty-five billion, one hundred two million, two hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 131 132 134 201 262 264 268 393 402 524 536 737 786 804 1048 1441 1474 1572 1608 2211 2882 2948 3144 4323 4422 5764 5896 8646 8777 8844 11528 17292 17554 17688 26331 34584 35108 52662 70216 96547 105324 193094 210648 289641 386188 579282 772376 1158564 2317128 13570723 27141446 40712169 54282892 81424338 108565784 149277953 162848676 298555906 325697352 447833859 597111812 895667718 909238441 1194223624 1777764713 1791335436 1818476882 2727715323 3555529426 3582670872 3636953764 5333294139 5455430646 7111058852 7273907528 10001622851 10666588278 10910861292 14222117704 19555411843 20003245702 21333176556 21821722584 30004868553 39110823686 40006491404 42666353112 58666235529 60009737106 78221647372 80012982808 117332471058 119110235771 120019474212 156443294744 234664942116 238220471542 240038948424 357330707313 469329884232 476440943084 714661414626 952881886168 1310212593481 1429322829252 2620425186962 2858645658504 3930637780443 5240850373924 7861275560886 10481700747848 15722551121772 31445102243544