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100494041417 = 711172953199251
BaseRepresentation
bin101110110010111101…
…0010110000101001001
3100121101121021020122222
41131211322112011021
53121302433311132
6114055532023425
710155223154330
oct1354572260511
9317347236588
10100494041417
113968a2a27a0
1217587301b75
139626c89643
144c14904d17
1529327c7412
hex1765e96149

100494041417 has 128 divisors (see below), whose sum is σ = 141087744000. Its totient is φ = 69189120000.

The previous prime is 100494041407. The next prime is 100494041423. The reversal of 100494041417 is 714140494001.

It is not a de Polignac number, because 100494041417 - 26 = 100494041353 is a prime.

It is a super-2 number, since 2×1004940414172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100494041407) 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, 400374542 + ... + 400374792.

It is an arithmetic number, because the mean of its divisors is an integer number (1102248000).

Almost surely, 2100494041417 is an apocalyptic number.

100494041417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100494041417 is a deficient number, since it is larger than the sum of its proper divisors (40593702583).

100494041417 is a wasteful number, since it uses less digits than its factorization.

100494041417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 100494041417 in words is "one hundred billion, four hundred ninety-four million, forty-one thousand, four hundred seventeen".

Divisors: 1 7 11 17 29 53 77 119 187 199 203 251 319 371 493 583 901 1309 1393 1537 1757 2189 2233 2761 3383 3451 4081 4267 5423 5771 6307 7279 9911 10547 10759 13303 15323 16907 19327 23681 26129 29869 37213 37961 40397 46937 49949 50953 63481 69377 73829 80069 93121 98107 116017 118349 123743 146333 179299 182903 226151 260491 287419 305863 328559 349643 385787 444367 549439 560483 686749 812119 849133 866201 1024331 1079177 1255093 1361173 1448521 1583057 1972289 2011933 2141041 2487661 2647297 2700509 3364493 3846073 4243657 5199671 5943931 6558379 7554239 9340463 9528211 10139647 13806023 15933731 17413627 18531079 23551451 24624857 29120267 29705599 36397697 45004049 45908653 57196381 65383241 72142169 76771613 111536117 172373999 203841869 270873427 315028343 400374667 495044539 504995183 537401291 844487743 1305117421 1896113989 3465311773 5911414201 9135821947 14356291631 100494041417