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2902275423040 = 2657314143151157
BaseRepresentation
bin101010001110111101000…
…110000111101101000000
3101021110021120020101210211
4222032331012013231000
5340022330002014130
610101141550403504
7416453043026020
oct52167506075500
911243246211724
102902275423040
11a199368a5694
123aa592200594
131808b656bb36
14a0684147a80
1550765173a2a
hex2a3bd187b40

2902275423040 has 896 divisors, whose sum is σ = 8657601232896. Its totient is φ = 905748480000.

The previous prime is 2902275423029. The next prime is 2902275423101. The reversal of 2902275423040 is 403245722092.

It is a super-3 number, since 3×29022754230403 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2902275422984 and 2902275423002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18485830642 + ... + 18485830798.

It is an arithmetic number, because the mean of its divisors is an integer number (9662501376).

Almost surely, 22902275423040 is an apocalyptic number.

2902275423040 is a gapful number since it is divisible by the number (20) 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 2902275423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328800616448).

2902275423040 is an abundant number, since it is smaller than the sum of its proper divisors (5755325809856).

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

2902275423040 is a wasteful number, since it uses less digits than its factorization.

2902275423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 2902275423040 in words is "two trillion, nine hundred two billion, two hundred seventy-five million, four hundred twenty-three thousand, forty".