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242130104030040 = 23353316036084839
BaseRepresentation
bin110111000011011101001110…
…110101110001001101011000
31011202022102010021002102212020
4313003131032311301031120
5223214024423112430130
62214545011215414440
7102000215461032342
oct6703351665611530
91152272107072766
10242130104030040
1170171889451676
12231a6529b24420
13a514a036b7465
1443b1233bb8292
151ced55dceae10
hexdc374ed71358

242130104030040 has 64 divisors (see below), whose sum is σ = 726392622009600. Its totient is φ = 64567822415232.

The previous prime is 242130104029997. The next prime is 242130104030041. The reversal of 242130104030040 is 40030401031242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242130104030041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36749941 + ... + 42834779.

It is an arithmetic number, because the mean of its divisors is an integer number (11349884718900).

Almost surely, 2242130104030040 is an apocalyptic number.

242130104030040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242130104030040 is an abundant number, since it is smaller than the sum of its proper divisors (484262517979560).

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

242130104030040 is a wasteful number, since it uses less digits than its factorization.

242130104030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416456 (or 6416452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242130104030040 its reverse (40030401031242), we get a palindrome (282160505061282).

The spelling of 242130104030040 in words is "two hundred forty-two trillion, one hundred thirty billion, one hundred four million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331603 663206 994809 1326412 1658015 1989618 2652824 3316030 3979236 4974045 6084839 6632060 7958472 9948090 12169678 13264120 18254517 19896180 24339356 30424195 36509034 39792360 48678712 60848390 73018068 91272585 121696780 146036136 182545170 243393560 365090340 730180680 2017750866917 4035501733834 6053252600751 8071003467668 10088754334585 12106505201502 16142006935336 20177508669170 24213010403004 30266263003755 40355017338340 48426020806008 60532526007510 80710034676680 121065052015020 242130104030040