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98440151040 = 215335711172
BaseRepresentation
bin101101110101101111…
…1011000000000000000
3100102002110111210202000
41123223133120000000
53103101134313130
6113120042024000
710053303322620
oct1335337300000
9312073453660
1098440151040
1138825998530
12170b34a8000
13938a5c41aa
144a9bc1c880
15286231c260
hex16eb7d8000

98440151040 has 1536 divisors, whose sum is σ = 463547404800. Its totient is φ = 19251855360.

The previous prime is 98440151021. The next prime is 98440151059. The reversal of 98440151040 is 4015104489.

It is an interprime number because it is at equal distance from previous prime (98440151021) and next prime (98440151059).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 98440150986 and 98440151004.

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, 5790597112 + ... + 5790597128.

It is an arithmetic number, because the mean of its divisors is an integer number (301788675).

Almost surely, 298440151040 is an apocalyptic number.

98440151040 is a gapful number since it is divisible by the number (90) 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 98440151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231773702400).

98440151040 is an abundant number, since it is smaller than the sum of its proper divisors (365107253760).

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

98440151040 is a wasteful number, since it uses less digits than its factorization.

98440151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 98440151040 in words is "ninety-eight billion, four hundred forty million, one hundred fifty-one thousand, forty".