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152024240000 = 27541900303
BaseRepresentation
bin1000110110010101011…
…0011100111110000000
3112112101211102120010102
42031211112130332000
54442321201140000
6153501115021532
713661205501413
oct2154526347600
9475354376112
10152024240000
11595227a1676
122556873a8a8
1311449a62ac9
147502559b7a
153e4b67e3d5
hex236559cf80

152024240000 has 80 divisors (see below), whose sum is σ = 378455043120. Its totient is φ = 60809664000.

The previous prime is 152024239993. The next prime is 152024240021. The reversal of 152024240000 is 42420251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1520242400002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 870152 + ... + 1030151.

It is an arithmetic number, because the mean of its divisors is an integer number (4730688039).

Almost surely, 2152024240000 is an apocalyptic number.

152024240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152024240000 is an abundant number, since it is smaller than the sum of its proper divisors (226430803120).

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

152024240000 is an frugal number, since it uses more digits than its factorization.

152024240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900337 (or 1900310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 152024240000 its reverse (42420251), we get a palindrome (152066660251).

The spelling of 152024240000 in words is "one hundred fifty-two billion, twenty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 1900303 3800606 7601212 9501515 15202424 19003030 30404848 38006060 47507575 60809696 76012120 95015150 121619392 152024240 190030300 237537875 243238784 304048480 380060600 475075750 608096960 760121200 950151500 1187689375 1216193920 1520242400 1900303000 2375378750 3040484800 3800606000 4750757500 6080969600 7601212000 9501515000 15202424000 19003030000 30404848000 38006060000 76012120000 152024240000