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31322013144304 = 24233137646911471
BaseRepresentation
bin1110001111100101110010…
…11101111001010011110000
311002220100120221122210210011
413013302321131321103300
513101134440331104204
6150341044552544304
76411640453613101
oct707627135712360
9132810527583704
1031322013144304
119a86655947393
12361a4ba9b2094
13146286500b45c
147a3dca3383a8
15394b56577304
hex1c7cb97794f0

31322013144304 has 160 divisors (see below), whose sum is σ = 67150604943360. Its totient is φ = 14101647436800.

The previous prime is 31322013144287. The next prime is 31322013144347. The reversal of 31322013144304 is 40344131022313.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 2730533289 + ... + 2730544759.

It is an arithmetic number, because the mean of its divisors is an integer number (419691280896).

Almost surely, 231322013144304 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 31322013144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33575302471680).

31322013144304 is an abundant number, since it is smaller than the sum of its proper divisors (35828591799056).

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

31322013144304 is a wasteful number, since it uses less digits than its factorization.

31322013144304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18039 (or 18033 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 31322013144304 its reverse (40344131022313), we get a palindrome (71666144166617).

The spelling of 31322013144304 in words is "thirty-one trillion, three hundred twenty-two billion, thirteen million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 23 31 37 46 62 74 92 124 148 184 248 296 368 496 592 713 851 1147 1426 1702 2294 2852 3404 4588 5704 6469 6808 9176 11408 11471 12938 13616 18352 22942 25876 26381 45884 51752 52762 91768 103504 105524 148787 183536 200539 211048 239353 263833 297574 355601 401078 422096 424427 478706 527666 595148 711202 802156 848854 957412 1055332 1190296 1422404 1604312 1697708 1914824 2110664 2380592 2844808 3208624 3395416 3829648 4221328 4612397 5505119 5689616 6790832 7419943 8178823 9224794 9761821 11010238 13157237 14839886 16357646 18449588 19523642 22020476 26314474 29679772 32715292 36899176 39047284 44040952 52628948 59359544 65430584 73798352 74205899 78094568 88081904 105257896 118719088 130861168 148411798 156189136 170658689 210515792 296823596 302616451 341317378 593647192 605232902 682634756 1187294384 1210465804 1365269512 1706735677 2300382869 2420931608 2730539024 2745618263 3413471354 4600765738 4841863216 5491236526 6826942708 9201531476 10982473052 13653885416 18403062952 21964946104 27307770832 36806125904 43929892208 52908805987 63149220049 85114166153 105817611974 126298440098 170228332306 211635223948 252596880196 340456664612 423270447896 505193760392 680913329224 846540895792 1010387520784 1361826658448 1957625821519 3915251643038 7830503286076 15661006572152 31322013144304