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1342123132932 = 2232192360728631
BaseRepresentation
bin10011100001111100110…
…001011100100000000100
311202022020212110022120200
4103201330301130200010
5133442132010223212
62504321324330500
7165652030254201
oct23417461344004
94668225408520
101342123132932
1147821157944a
121981423a3a30
139973bca6c7a
1448d5db04ca8
1524da1ee36dc
hex1387cc5c804

1342123132932 has 108 divisors (see below), whose sum is σ = 3581661859776. Its totient is φ = 423696057120.

The previous prime is 1342123132921. The next prime is 1342123132967. The reversal of 1342123132932 is 2392313212431.

1342123132932 is a `hidden beast` number, since 1 + 3 + 42 + 12 + 313 + 293 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 46862257 + ... + 46890887.

Almost surely, 21342123132932 is an apocalyptic number.

1342123132932 is a gapful number since it is divisible by the number (12) 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 1342123132932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790830929888).

1342123132932 is an abundant number, since it is smaller than the sum of its proper divisors (2239538726844).

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

1342123132932 is a wasteful number, since it uses less digits than its factorization.

1342123132932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32286 (or 32262 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 1342123132932 in words is "one trillion, three hundred forty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 3607 4332 6498 7214 10821 12996 14428 21642 28631 32463 43284 57262 64926 68533 85893 114524 129852 137066 171786 205599 257679 274132 343572 411198 515358 543989 616797 822396 1030716 1087978 1233594 1302127 1631967 2175956 2467188 2604254 3263934 3906381 4895901 5208508 6527868 7812762 9791802 10335791 11719143 15625524 19583604 20671582 23438286 31007373 41343164 46876572 62014746 93022119 103272017 124029492 186044238 206544034 309816051 372088476 413088068 619632102 929448153 1239264204 1858896306 1962168323 3717792612 3924336646 5886504969 7848673292 11773009938 17659514907 23546019876 35319029814 37281198137 70638059628 74562396274 111843594411 149124792548 223687188822 335530783233 447374377644 671061566466 1342123132932