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155343140820 = 2233572191931601
BaseRepresentation
bin1001000010101100101…
…1000011011111010100
3112211222010112012011000
42100223023003133110
510021120321001240
6155210314343300
714136355624200
oct2205313033724
9484863465130
10155343140820
115a976175a0a
122613412ab30
131185853214a
147739255b00
154092c17430
hex242b2c37d4

155343140820 has 576 divisors, whose sum is σ = 595221177600. Its totient is φ = 33443020800.

The previous prime is 155343140807. The next prime is 155343140833. The reversal of 155343140820 is 28041343551.

155343140820 is a `hidden beast` number, since 1 + 5 + 534 + 3 + 1 + 40 + 82 + 0 = 666.

155343140820 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155343140807) and next prime (155343140833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97028020 + ... + 97029620.

It is an arithmetic number, because the mean of its divisors is an integer number (1033370100).

Almost surely, 2155343140820 is an apocalyptic number.

155343140820 is a gapful number since it is divisible by the number (10) 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 155343140820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297610588800).

155343140820 is an abundant number, since it is smaller than the sum of its proper divisors (439878036780).

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

155343140820 is a wasteful number, since it uses less digits than its factorization.

155343140820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 155343140820 in words is "one hundred fifty-five billion, three hundred forty-three million, one hundred forty thousand, eight hundred twenty".