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1014243346152 = 233429151357431
BaseRepresentation
bin11101100001001011001…
…11010100011011101000
310120221221100210101020000
432300211213110123220
5113104132244034102
62053534214503000
7133163616124401
oct16604547243350
93527840711200
101014243346152
11361157a22753
12144698064a60
137484812a60a
1437137d869a8
151b5b1e1701c
hexec259d46e8

1014243346152 has 160 divisors (see below), whose sum is σ = 2958250204800. Its totient is φ = 324260496000.

The previous prime is 1014243345977. The next prime is 1014243346201. The reversal of 1014243346152 is 2516433424101.

1014243346152 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 3 + 34 + 615 + 2 = 666.

1014243346152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2658877 + ... + 3016307.

It is an arithmetic number, because the mean of its divisors is an integer number (18489063780).

Almost surely, 21014243346152 is an apocalyptic number.

1014243346152 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 1014243346152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479125102400).

1014243346152 is an abundant number, since it is smaller than the sum of its proper divisors (1944006858648).

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

1014243346152 is a wasteful number, since it uses less digits than its factorization.

1014243346152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357629 (or 357616 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1014243346152 in words is "one trillion, fourteen billion, two hundred forty-three million, three hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 151 162 174 216 232 261 302 324 348 453 522 604 648 696 783 906 1044 1208 1359 1566 1812 2088 2349 2718 3132 3624 4077 4379 4698 5436 6264 8154 8758 9396 10872 12231 13137 16308 17516 18792 24462 26274 32616 35032 39411 48924 52548 78822 97848 105096 118233 157644 236466 315288 354699 357431 472932 709398 714862 945864 1072293 1418796 1429724 2144586 2837592 2859448 3216879 4289172 6433758 8578344 9650637 10365499 12867516 19301274 20730998 25735032 28951911 31096497 38602548 41461996 53972081 57903822 62192994 77205096 82923992 93289491 107944162 115807644 124385988 161916243 186578982 215888324 231615288 248771976 279868473 323832486 373157964 431776648 485748729 559736946 647664972 746315928 839605419 971497458 1119473892 1295329944 1457246187 1565190349 1679210838 1942994916 2238947784 2914492374 3130380698 3358421676 3885989832 4371738561 4695571047 5828984748 6260761396 6716843352 8743477122 9391142094 11657969496 12521522792 14086713141 17486954244 18782284188 28173426282 34973908488 37564568376 42260139423 56346852564 84520278846 112693705128 126780418269 169040557692 253560836538 338081115384 507121673076 1014243346152