Search a number
-
+
541862843940 = 223451142172227
BaseRepresentation
bin1111110001010011000…
…10101101011000100100
31220210122100112112020000
413320221202231120210
532334213342001230
61052532305141300
754101603115135
oct7705142553044
91823570475200
10541862843940
111998914a3790
128902492a830
133c136124952
141c324d85c8c
15e165e38b60
hex7e298ad624

541862843940 has 240 divisors, whose sum is σ = 1858805492544. Its totient is φ = 131046854400.

The previous prime is 541862843933. The next prime is 541862843971. The reversal of 541862843940 is 49348268145.

541862843940 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 628 + 4 + 3 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7466107 + ... + 7538333.

Almost surely, 2541862843940 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 541862843940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929402746272).

541862843940 is an abundant number, since it is smaller than the sum of its proper divisors (1316942648604).

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

541862843940 is a wasteful number, since it uses less digits than its factorization.

541862843940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72680 (or 72669 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 541862843940 in words is "five hundred forty-one billion, eight hundred sixty-two million, eight hundred forty-three thousand, nine hundred forty".