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342361431536540 = 2251331191479464281
BaseRepresentation
bin100110111011000000011101…
…1100000101111001110011100
31122220012102200210220212120212
41031312000323200233032130
5324333222202433132130
63212050400445431552
7132053540300443043
oct11566007340571634
91586172623825525
10342361431536540
119a0a5738838289
1232493b3286b5b8
1311905710260660
14607854b55755a
15298a916e8de95
hex137603b82f39c

342361431536540 has 192 divisors, whose sum is σ = 805103319121920. Its totient is φ = 121437819648000.

The previous prime is 342361431536539. The next prime is 342361431536557. The reversal of 342361431536540 is 45635134163243.

It is a super-2 number, since 2×3423614315365402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 737169200 + ... + 737633480.

It is an arithmetic number, because the mean of its divisors is an integer number (4193246453760).

Almost surely, 2342361431536540 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 342361431536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402551659560960).

342361431536540 is an abundant number, since it is smaller than the sum of its proper divisors (462741887585380).

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

342361431536540 is a wasteful number, since it uses less digits than its factorization.

342361431536540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465004 (or 465002 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 50.

Adding to 342361431536540 its reverse (45635134163243), we get a palindrome (387996565699783).

The spelling of 342361431536540 in words is "three hundred forty-two trillion, three hundred sixty-one billion, four hundred thirty-one million, five hundred thirty-six thousand, five hundred forty".