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145749849414 = 231319929105863
BaseRepresentation
bin1000011110111101011…
…1100011010101000110
3111221012120001111022220
42013233113203111012
54341443430140124
6150542341033210
713346550164451
oct2075727432506
9457176044286
10145749849414
11568a2a99104
12242b73b5806
1310989b94960
1470a9122498
153bd08e5879
hex21ef5e3546

145749849414 has 64 divisors (see below), whose sum is σ = 330803827200. Its totient is φ = 42439652352.

The previous prime is 145749849397. The next prime is 145749849449. The reversal of 145749849414 is 414948947541.

It is a super-2 number, since 2×1457498494142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323847 + ... + 1429709.

It is an arithmetic number, because the mean of its divisors is an integer number (5168809800).

Almost surely, 2145749849414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145749849414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165401913600).

145749849414 is an abundant number, since it is smaller than the sum of its proper divisors (185053977786).

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

145749849414 is a wasteful number, since it uses less digits than its factorization.

145749849414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106829.

The product of its digits is 23224320, while the sum is 60.

The spelling of 145749849414 in words is "one hundred forty-five billion, seven hundred forty-nine million, eight hundred forty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 929 1482 1858 2787 5574 12077 17651 24154 35302 36231 52953 72462 105863 105906 211726 229463 317589 458926 635178 688389 1376219 1376778 2011397 2752438 4022794 4128657 6034191 8257314 12068382 26148161 52296322 78444483 98346727 156888966 196693454 295040181 590080362 1278507451 1868587813 2557014902 3737175626 3835522353 5605763439 7671044706 11211526878 24291641569 48583283138 72874924707 145749849414