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144001425631532 = 227414359330714951
BaseRepresentation
bin100000101111011111110001…
…110100100110100100101100
3200212212101211221111211100012
4200233133301310212210230
5122333304404430202112
61230133201445152352
742221521366000310
oct4057376164464454
9625771757454305
10144001425631532
1141979730728997
12141985360bb6b8
136247378990391
14277b9c5ad1b40
15119ac1a701022
hex82f7f1d2692c

144001425631532 has 192 divisors, whose sum is σ = 307118539284480. Its totient is φ = 57791313216000.

The previous prime is 144001425631487. The next prime is 144001425631603. The reversal of 144001425631532 is 235136524100441.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 144001425631532.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9631550657 + ... + 9631565607.

It is an arithmetic number, because the mean of its divisors is an integer number (1599575725440).

Almost surely, 2144001425631532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144001425631532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153559269642240).

144001425631532 is an abundant number, since it is smaller than the sum of its proper divisors (163117113652948).

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

144001425631532 is a wasteful number, since it uses less digits than its factorization.

144001425631532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18410 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 144001425631532 its reverse (235136524100441), we get a palindrome (379137949731973).

The spelling of 144001425631532 in words is "one hundred forty-four trillion, one billion, four hundred twenty-five million, six hundred thirty-one thousand, five hundred thirty-two".