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41454023436 = 223272924123537
BaseRepresentation
bin100110100110110110…
…100011001100001100
310222000000001120200100
4212212312203030030
51134344212222221
631013235331100
72665161246120
oct464666431414
9128000046610
1041454023436
1116642796401
12804aa50a90
133ba8397867
142013743580
15112949d926
hex9a6da330c

41454023436 has 144 divisors (see below), whose sum is σ = 124404920640. Its totient is φ = 11387658240.

The previous prime is 41454023431. The next prime is 41454023449. The reversal of 41454023436 is 63432045414.

41454023436 is a `hidden beast` number, since 414 + 5 + 4 + 0 + 234 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41454023436.

It is not an unprimeable number, because it can be changed into a prime (41454023431) 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, 1749460 + ... + 1772996.

It is an arithmetic number, because the mean of its divisors is an integer number (863923060).

Almost surely, 241454023436 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 41454023436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62202460320).

41454023436 is an abundant number, since it is smaller than the sum of its proper divisors (82950897204).

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

41454023436 is a wasteful number, since it uses less digits than its factorization.

41454023436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23824 (or 23819 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 41454023436 in words is "forty-one billion, four hundred fifty-four million, twenty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 241 252 261 348 406 482 522 609 723 812 964 1044 1218 1446 1687 1827 2169 2436 2892 3374 3654 4338 5061 6748 6989 7308 8676 10122 13978 15183 20244 20967 23537 27956 30366 41934 47074 48923 60732 62901 70611 83868 94148 97846 125802 141222 146769 164759 195692 211833 251604 282444 293538 329518 423666 440307 494277 587076 659036 682573 847332 880614 988554 1365146 1482831 1761228 1977108 2047719 2730292 2965662 4095438 4778011 5672417 5931324 6143157 8190876 9556022 11344834 12286314 14334033 17017251 19112044 22689668 24572628 28668066 34034502 39706919 43002099 51051753 57336132 68069004 79413838 86004198 102103506 119120757 158827676 164500093 172008396 204207012 238241514 329000186 357362271 476483028 493500279 658000372 714724542 987000558 1151500651 1429449084 1480500837 1974001116 2303001302 2961001674 3454501953 4606002604 5922003348 6909003906 10363505859 13818007812 20727011718 41454023436