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128035541157 = 317233141157547
BaseRepresentation
bin111011100111110000…
…0110101000010100101
3110020111000110101200220
41313033200311002211
54044204044304112
6134452501554553
712151561100046
oct1671740650245
9406430411626
10128035541157
114a3327a8127
1220992a15a59
13c0c5bc2654
1462a86228cd
1534e567198c
hex1dcf8350a5

128035541157 has 128 divisors (see below), whose sum is σ = 201085452288. Its totient is φ = 71956684800.

The previous prime is 128035541149. The next prime is 128035541177. The reversal of 128035541157 is 751145530821.

It is not a de Polignac number, because 128035541157 - 23 = 128035541149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128035541107) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 234068358 + ... + 234068904.

It is an arithmetic number, because the mean of its divisors is an integer number (1570980096).

Almost surely, 2128035541157 is an apocalyptic number.

128035541157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

128035541157 is a deficient number, since it is larger than the sum of its proper divisors (73049911131).

128035541157 is a wasteful number, since it uses less digits than its factorization.

128035541157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819.

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 128035541157 in words is "one hundred twenty-eight billion, thirty-five million, five hundred forty-one thousand, one hundred fifty-seven".

Divisors: 1 3 17 23 31 41 51 69 93 123 157 391 471 527 547 697 713 943 1173 1271 1581 1641 2091 2139 2669 2829 3611 3813 4867 6437 8007 9299 10833 12121 12581 14601 16031 16957 19311 21607 22427 27897 29233 36363 37743 48093 50871 61387 64821 67281 82739 85879 87699 109429 111941 148051 184161 199547 213877 248217 257637 288269 328287 335823 381259 390011 444153 496961 515821 598641 641631 695237 864807 1143777 1170033 1459943 1490883 1547463 1902997 1975217 2085711 2516867 2662249 3392299 3521039 4379829 4589581 5708991 5925651 6630187 7550601 7986747 8768957 10176897 10563117 11819029 13768743 15990451 19890561 26306871 33578689 35457087 45258233 47971353 59857663 61231727 78022877 80983897 100736067 109152209 135774699 179572989 183695181 234068631 242951691 271837667 327456627 815513001 1040939359 1376726249 1855587553 2510500807 3122818077 4130178747 5566762659 7531502421 42678513719 128035541157