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31242032004144 = 24313198737676689
BaseRepresentation
bin1110001101010000110100…
…01110000011110000110000
311002121201010221000220121210
413012220122032003300300
513043332140143113034
6150240220311320120
76403106451261333
oct706503216036060
9132551127026553
1031242032004144
119a55742651a55
123606ab9380040
131458159a7ab10
147a019dcac61a
15392a24a818e9
hex1c6a1a383c30

31242032004144 has 160 divisors (see below), whose sum is σ = 86996766850560. Its totient is φ = 9604108394496.

The previous prime is 31242032004137. The next prime is 31242032004187. The reversal of 31242032004144 is 44140023024213.

It is a super-2 number, since 2×312420320041442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4670654752 + ... + 4670661440.

It is an arithmetic number, because the mean of its divisors is an integer number (543729792816).

Almost surely, 231242032004144 is an apocalyptic number.

It is an amenable number.

31242032004144 is an abundant number, since it is smaller than the sum of its proper divisors (55754734846416).

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

31242032004144 is a wasteful number, since it uses less digits than its factorization.

31242032004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31242032004144 its reverse (44140023024213), we get a palindrome (75382055028357).

The spelling of 31242032004144 in words is "thirty-one trillion, two hundred forty-two billion, thirty-two million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1987 3767 3974 5961 6689 7534 7948 11301 11922 13378 15068 15896 20067 22602 23844 25831 26756 30136 31792 40134 45204 47688 48971 51662 53512 60272 77493 80268 86957 90408 95376 97942 103324 107024 146913 154986 160536 173914 180816 195884 206648 260871 293826 309972 321072 347828 391768 413296 521742 587652 619944 695656 783536 1043484 1175304 1239888 1391312 2086968 2350608 4173936 7485029 13291043 14970058 22455087 25197463 26582086 29940116 39873129 44910174 50394926 53164172 59880232 75592389 79746258 89820348 97305377 100789852 106328344 119760464 151184778 159492516 172783559 179640696 194610754 201579704 212656688 291916131 302369556 318985032 327567019 345567118 359281392 389221508 403159408 518350677 583832262 604739112 637970064 655134038 691134236 778443016 982701057 1036701354 1167664524 1209478224 1310268076 1382268472 1556886032 1965402114 2073402708 2335329048 2620536152 2764536944 3930804228 4146805416 4670658096 5241072304 7861608456 8293610832 15723216912 50067358981 100134717962 150202076943 200269435924 300404153886 400538871848 600808307772 650875666753 801077743696 1201616615544 1301751333506 1952627000259 2403233231088 2603502667012 3905254000518 5207005334024 7810508001036 10414010668048 15621016002072 31242032004144