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155324132400 = 24352131988067
BaseRepresentation
bin1001000010101000001…
…0100010110000110000
3112211220210202110111110
42100222002202300300
510021100434214100
6155204355113320
714136035225103
oct2205202426060
9484823673443
10155324132400
115a966472678
12261298a2840
1311854608168
14773690873a
154091210250
hex242a0a2c30

155324132400 has 120 divisors (see below), whose sum is σ = 501353607744. Its totient is φ = 41103545600.

The previous prime is 155324132399. The next prime is 155324132401. The reversal of 155324132400 is 4231423551.

It is an interprime number because it is at equal distance from previous prime (155324132399) and next prime (155324132401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1553241324002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (155324132401) 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, 336834 + ... + 651233.

Almost surely, 2155324132400 is an apocalyptic number.

155324132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155324132400 is an abundant number, since it is smaller than the sum of its proper divisors (346029475344).

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

155324132400 is a wasteful number, since it uses less digits than its factorization.

155324132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988219 (or 988208 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 155324132400 its reverse (4231423551), we get a palindrome (159555555951).

The spelling of 155324132400 in words is "one hundred fifty-five billion, three hundred twenty-four million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 131 150 200 240 262 300 393 400 524 600 655 786 1048 1200 1310 1572 1965 2096 2620 3144 3275 3930 5240 6288 6550 7860 9825 10480 13100 15720 19650 26200 31440 39300 52400 78600 157200 988067 1976134 2964201 3952268 4940335 5928402 7904536 9880670 11856804 14821005 15809072 19761340 23713608 24701675 29642010 39522680 47427216 49403350 59284020 74105025 79045360 98806700 118568040 129436777 148210050 197613400 237136080 258873554 296420100 388310331 395226800 517747108 592840200 647183885 776620662 1035494216 1185680400 1294367770 1553241324 1941551655 2070988432 2588735540 3106482648 3235919425 3883103310 5177471080 6212965296 6471838850 7766206620 9707758275 10354942160 12943677700 15532413240 19415516550 25887355400 31064826480 38831033100 51774710800 77662066200 155324132400