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102334022440 = 23513250929741
BaseRepresentation
bin101111101001110010…
…1010100001100101000
3100210010211111222010021
41133103211110030220
53134040002204230
6115002301130224
710251634560436
oct1372345241450
9323124458107
10102334022440
113a443984771
12179bb559974
13985b237700
144d4b027d56
1529de0cbc7a
hex17d3954328

102334022440 has 96 divisors (see below), whose sum is σ = 249823877400. Its totient is φ = 37709368320.

The previous prime is 102334022419. The next prime is 102334022459. The reversal of 102334022440 is 44220433201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10378311876 + 91955710564 = 101874^2 + 303242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3425970 + ... + 3455710.

Almost surely, 2102334022440 is an apocalyptic number.

102334022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102334022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124911938700).

102334022440 is an abundant number, since it is smaller than the sum of its proper divisors (147489854960).

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

102334022440 is a wasteful number, since it uses less digits than its factorization.

102334022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30287 (or 30270 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 102334022440 its reverse (44220433201), we get a palindrome (146554455641).

The spelling of 102334022440 in words is "one hundred two billion, three hundred thirty-four million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 509 520 676 845 1018 1352 1690 2036 2545 3380 4072 5090 6617 6760 10180 13234 20360 26468 29741 33085 52936 59482 66170 86021 118964 132340 148705 172042 237928 264680 297410 344084 386633 430105 594820 688168 773266 860210 1189640 1546532 1720420 1933165 3093064 3440840 3866330 5026229 7732660 10052458 15138169 15465320 20104916 25131145 30276338 40209832 50262290 60552676 75690845 100524580 121105352 151381690 196796197 201049160 302763380 393592394 605526760 787184788 983980985 1574369576 1967961970 2558350561 3935923940 5116701122 7871847880 10233402244 12791752805 20466804488 25583505610 51167011220 102334022440