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146063714940 = 223451121331432
BaseRepresentation
bin1000100000001000010…
…0110110101001111100
3111222000102122111220000
42020002010312221330
54343114302334230
6151033432154300
713360411043343
oct2100204665174
9458012574800
10146063714940
1156a44182a00
1224384538990
1310a09c088c0
1470d8aa4b5a
153bed242b60
hex2202136a7c

146063714940 has 1080 divisors, whose sum is σ = 573211545984. Its totient is φ = 30895603200.

The previous prime is 146063714921. The next prime is 146063714959. The reversal of 146063714940 is 49417360641.

146063714940 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 637 + 1 + 4 + 9 + 4 + 0 = 666.

146063714940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146063714921) and next prime (146063714959).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3396830559 + ... + 3396830601.

Almost surely, 2146063714940 is an apocalyptic number.

146063714940 is a gapful number since it is divisible by the number (10) 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 146063714940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286605772992).

146063714940 is an abundant number, since it is smaller than the sum of its proper divisors (427147831044).

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

146063714940 is a wasteful number, since it uses less digits than its factorization.

146063714940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 146063714940 in words is "one hundred forty-six billion, sixty-three million, seven hundred fourteen thousand, nine hundred forty".