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142391216935464 = 233710154115511553
BaseRepresentation
bin100000011000000100001001…
…111001111001001000101000
3200200011110121201202212001120
4200120010021321321020220
5122130414203013413324
61222501342204415240
741664266044625040
oct4030041171711050
9620143551685046
10142391216935464
1141408859913002
1213b78456547520
13615b584a696a3
142723ab3678720
15116ddc7c88179
hex818109e79228

142391216935464 has 128 divisors (see below), whose sum is σ = 411619560641280. Its totient is φ = 40205942784000.

The previous prime is 142391216935427. The next prime is 142391216935481. The reversal of 142391216935464 is 464539612193241.

142391216935464 is an astonishing number since 142391216935464 = 1423912 + ... + 16935464.

It is a junction number, because it is equal to n+sod(n) for n = 142391216935398 and 142391216935407.

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 31 ways as a sum of consecutive naturals, for example, 1423912 + ... + 16935464.

It is an arithmetic number, because the mean of its divisors is an integer number (3215777817510).

Almost surely, 2142391216935464 is an apocalyptic number.

142391216935464 is a gapful number since it is divisible by the number (14) 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 142391216935464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205809780320640).

142391216935464 is an abundant number, since it is smaller than the sum of its proper divisors (269228343705816).

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

142391216935464 is a wasteful number, since it uses less digits than its factorization.

142391216935464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15512211 (or 15512207 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 60.

The spelling of 142391216935464 in words is "one hundred forty-two trillion, three hundred ninety-one billion, two hundred sixteen million, nine hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 541 606 707 808 1082 1212 1414 1623 2121 2164 2424 2828 3246 3787 4242 4328 5656 6492 7574 8484 11361 12984 15148 16968 22722 30296 45444 54641 90888 109282 163923 218564 327846 382487 437128 655692 764974 1147461 1311384 1529948 2294922 3059896 4589844 9179688 15511553 31023106 46534659 62046212 93069318 108580871 124092424 186138636 217161742 325742613 372277272 434323484 651485226 868646968 1302970452 1566666853 2605940904 3133333706 4700000559 6266667412 8391750173 9400001118 10966667971 12533334824 16783500346 18800002236 21933335942 25175250519 32900003913 33567000692 37600004472 43866671884 50350501038 58742251211 65800007826 67134001384 87733343768 100701002076 117484502422 131600015652 176226753633 201402004152 234969004844 263200031304 352453507266 469938009688 704907014532 847566767473 1409814029064 1695133534946 2542700302419 3390267069892 5085400604838 5932967372311 6780534139784 10170801209676 11865934744622 17798902116933 20341602419352 23731869489244 35597804233866 47463738978488 71195608467732 142391216935464