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42420554154 = 232114725717737
BaseRepresentation
bin100111100000011101…
…100100100110101010
311001111100202102120100
4213200131210212222
51143334130213104
631253203410230
73031135521666
oct474035444652
9131440672510
1042420554154
1116a9932a220
12827a683976
1340006b6924
1420a5c5b8a6
15118426d139
hex9e07649aa

42420554154 has 96 divisors (see below), whose sum is σ = 102804339456. Its totient is φ = 12531548160.

The previous prime is 42420554153. The next prime is 42420554179. The reversal of 42420554154 is 45145502424.

42420554154 is a `hidden beast` number, since 42 + 4 + 20 + 5 + 541 + 54 = 666.

It is not an unprimeable number, because it can be changed into a prime (42420554153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382774 + ... + 2400510.

It is an arithmetic number, because the mean of its divisors is an integer number (1070878536).

Almost surely, 242420554154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42420554154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51402169728).

42420554154 is an abundant number, since it is smaller than the sum of its proper divisors (60383785302).

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

42420554154 is a wasteful number, since it uses less digits than its factorization.

42420554154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18060 (or 18057 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 42420554154 in words is "forty-two billion, four hundred twenty million, five hundred fifty-four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 257 282 423 514 517 771 846 1034 1542 1551 2313 2827 3102 4626 4653 5654 8481 9306 12079 16962 17737 24158 25443 35474 36237 50886 53211 72474 106422 108711 132869 159633 195107 217422 265738 319266 390214 398607 585321 797214 833639 1170642 1195821 1667278 1755963 2391642 2500917 3511926 4558409 5001834 7502751 9116818 9170029 13675227 15005502 18340058 27350454 27510087 41025681 50142499 55020174 82051362 82530261 100284998 150427497 165060522 214245223 300854994 428490446 451282491 642735669 902564982 1285471338 1928207007 2356697453 3856414014 4713394906 7070092359 14140184718 21210277077 42420554154