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42313310153400 = 233521113586184143
BaseRepresentation
bin10011001111011110101011…
…10100100010101010111000
312112211010001100002201222010
421213233111310202222320
521021230124344402100
6225554244421125520
711625015161650206
oct1147572564425270
9175733040081863
1042313310153400
1112533a79526430
1248b4729b598a0
131a7c188373840
14a63d91ad0076
154d59edb72750
hex267bd5d22ab8

42313310153400 has 384 divisors, whose sum is σ = 154131424957440. Its totient is φ = 9466984704000.

The previous prime is 42313310153381. The next prime is 42313310153449. The reversal of 42313310153400 is 435101331324.

It is a happy number.

It is a super-2 number, since 2×423133101534002 (a number of 28 digits) contains 22 as substring.

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

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, 502831729 + ... + 502915871.

It is an arithmetic number, because the mean of its divisors is an integer number (401383919160).

Almost surely, 242313310153400 is an apocalyptic number.

42313310153400 is a gapful number since it is divisible by the number (40) 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 42313310153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77065712478720).

42313310153400 is an abundant number, since it is smaller than the sum of its proper divisors (111818114804040).

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

42313310153400 is a wasteful number, since it uses less digits than its factorization.

42313310153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90047 (or 90038 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 42313310153400 its reverse (435101331324), we get a palindrome (42748411484724).

The spelling of 42313310153400 in words is "forty-two trillion, three hundred thirteen billion, three hundred ten million, one hundred fifty-three thousand, four hundred".