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542015534040 = 233541910779943
BaseRepresentation
bin1111110001100101010…
…01001011001111011000
31220211000222211222122220
413320302221023033120
532340021434042130
61052555401544040
754105436010601
oct7706251131730
91824028758586
10542015534040
1119995a703052
1289067aa5020
133c15b956116
141c33b370da8
15e17454a410
hex7e32a4b3d8

542015534040 has 64 divisors (see below), whose sum is σ = 1629927532800. Its totient is φ = 144192504192.

The previous prime is 542015534023. The next prime is 542015534063. The reversal of 542015534040 is 40435510245.

It is a junction number, because it is equal to n+sod(n) for n = 542015533992 and 542015534010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5339692 + ... + 5440251.

It is an arithmetic number, because the mean of its divisors is an integer number (25467617700).

Almost surely, 2542015534040 is an apocalyptic number.

It is an amenable number.

542015534040 is an abundant number, since it is smaller than the sum of its proper divisors (1087911998760).

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

542015534040 is a wasteful number, since it uses less digits than its factorization.

542015534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780376 (or 10780372 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 542015534040 in words is "five hundred forty-two billion, fifteen million, five hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 25140 50280 10779943 21559886 32339829 43119772 53899715 64679658 86239544 107799430 129359316 161699145 215598860 258718632 323398290 431197720 646796580 1293593160 4516796117 9033592234 13550388351 18067184468 22583980585 27100776702 36134368936 45167961170 54201553404 67751941755 90335922340 108403106808 135503883510 180671844680 271007767020 542015534040