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132233101400400 = 2435271113110084167
BaseRepresentation
bin11110000100001111101011…
…000010010101100101010000
3122100012100202012021012010220
4132010033223002111211100
5114313001342424303100
61145123014222553040
736565345344342210
oct3604175302254520
9570170665235126
10132233101400400
113915181a481270
12129b77b2138780
1358a26b2bc9080
14249218b018240
151044a46a47aa0
hex7843eb095950

132233101400400 has 480 divisors, whose sum is σ = 568731800168448. Its totient is φ = 25363391846400.

The previous prime is 132233101400377. The next prime is 132233101400419. The reversal of 132233101400400 is 4004101332231.

It is a happy number.

It is a super-2 number, since 2×1322331014004002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53840884 + ... + 56243283.

Almost surely, 2132233101400400 is an apocalyptic number.

132233101400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132233101400400 is an abundant number, since it is smaller than the sum of its proper divisors (436498698768048).

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

132233101400400 is a wasteful number, since it uses less digits than its factorization.

132233101400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110084219 (or 110084208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132233101400400 its reverse (4004101332231), we get a palindrome (136237202732631).

The spelling of 132233101400400 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one hundred one million, four hundred thousand, four hundred".