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149514558444 = 223237367130577
BaseRepresentation
bin1000101100111111000…
…0110001101111101100
3112021220221000112020200
42023033300301233230
54422201211332234
6152404103513500
713542052530516
oct2131760615754
9467827015220
10149514558444
1158455085789
1224b88158890
1311139b23a34
147345108bb6
153d5118ed99
hex22cfc31bec

149514558444 has 72 divisors (see below), whose sum is σ = 388272594528. Its totient is φ = 48476413440.

The previous prime is 149514558443. The next prime is 149514558461. The reversal of 149514558444 is 444855415941.

It is a happy number.

149514558444 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 14 + 5 + 584 + 44 = 666.

It is a super-2 number, since 2×1495145584442 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (149514558443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4874484 + ... + 4905060.

It is an arithmetic number, because the mean of its divisors is an integer number (5392674924).

Almost surely, 2149514558444 is an apocalyptic number.

It is an amenable number.

149514558444 is an abundant number, since it is smaller than the sum of its proper divisors (238758036084).

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

149514558444 is a wasteful number, since it uses less digits than its factorization.

149514558444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34295 (or 34290 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 149514558444 in words is "one hundred forty-nine billion, five hundred fourteen million, five hundred fifty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3671 7342 11013 14684 22026 30577 33039 44052 61154 66078 91731 122308 132156 135827 183462 271654 275193 366924 407481 543308 550386 814962 1100772 1131349 1222443 1629924 2262698 2444886 3394047 4525396 4889772 6788094 10182141 13576188 20364282 40728564 112248167 224496334 336744501 448992668 673489002 1010233503 1346978004 2020467006 4040934012 4153182179 8306364358 12459546537 16612728716 24919093074 37378639611 49838186148 74757279222 149514558444