Search a number
-
+
145643379390 = 23257192250709
BaseRepresentation
bin1000011110100100000…
…1011001101010111110
3111220221010201020220200
42013221001121222332
54341234201120030
6150524015024330
713344115204305
oct2075101315276
9456833636820
10145643379390
1156848988653
122428780b0a6
1310970ac7242
147098d2943c
153bc63b3d60
hex21e9059abe

145643379390 has 48 divisors (see below), whose sum is σ = 379199620800. Its totient is φ = 38784200256.

The previous prime is 145643379383. The next prime is 145643379433. The reversal of 145643379390 is 93973346541.

145643379390 is a `hidden beast` number, since 1 + 4 + 56 + 433 + 79 + 3 + 90 = 666.

145643379390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060645 + ... + 1190064.

It is an arithmetic number, because the mean of its divisors is an integer number (7899992100).

Almost surely, 2145643379390 is an apocalyptic number.

145643379390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145643379390 is an abundant number, since it is smaller than the sum of its proper divisors (233556241410).

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

145643379390 is a wasteful number, since it uses less digits than its factorization.

145643379390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251441 (or 2251438 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 145643379390 in words is "one hundred forty-five billion, six hundred forty-three million, three hundred seventy-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 719 1438 2157 3595 4314 6471 7190 10785 12942 21570 32355 64710 2250709 4501418 6752127 11253545 13504254 20256381 22507090 33760635 40512762 67521270 101281905 202563810 1618259771 3236519542 4854779313 8091298855 9709558626 14564337939 16182597710 24273896565 29128675878 48547793130 72821689695 145643379390