Search a number
-
+
401301101144130 = 2351129282971481897
BaseRepresentation
bin101101100111110110011000…
…1100101001110100001000010
31221121220000021201121111010220
41123033230301211032201002
5410044404123343103010
63541255103020003510
7150346022250113535
oct13317546145164102
91847800251544126
10401301101144130
11106959928774760
1239012a12990596
13142bc6ba806865
14711511114ca1c
15315db68a63970
hex16cfb3194e842

401301101144130 has 128 divisors (see below), whose sum is σ = 1086948709735680. Its totient is φ = 93927073443840.

The previous prime is 401301101144123. The next prime is 401301101144191. The reversal of 401301101144130 is 31441101103104.

It is a super-2 number, since 2×4013011011441302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401301101144130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270061342 + ... + 271543238.

It is an arithmetic number, because the mean of its divisors is an integer number (8491786794810).

Almost surely, 2401301101144130 is an apocalyptic number.

401301101144130 is an abundant number, since it is smaller than the sum of its proper divisors (685647608591550).

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

401301101144130 is a wasteful number, since it uses less digits than its factorization.

401301101144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510244.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 401301101144130 its reverse (31441101103104), we get a palindrome (432742202247234).

The spelling of 401301101144130 in words is "four hundred one trillion, three hundred one billion, one hundred one million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 28297 56594 84891 141485 169782 282970 311267 424455 622534 820613 848910 933801 1481897 1556335 1641226 1867602 2461839 2963794 3112670 4103065 4445691 4669005 4923678 7409485 8206130 8891382 9026743 9338010 12309195 14818970 16300867 18053486 22228455 24618390 27080229 32601734 42975013 44456910 45133715 48902601 54160458 81504335 85950026 90267430 97805202 128925039 135401145 163008670 214875065 244513005 257850078 270802290 429750130 472725143 489026010 644625195 945450286 1289250390 1418175429 2363625715 2836350858 4727251430 7090877145 14181754290 41933239409 83866478818 125799718227 209666197045 251599436454 419332394090 461265633499 628998591135 922531266998 1216063942861 1257997182270 1383796900497 2306328167495 2432127885722 2767593800994 3648191828583 4612656334990 6080319714305 6918984502485 7296383657166 12160639428610 13376703371471 13837969004970 18240959142915 26753406742942 36481918285830 40130110114413 66883516857355 80260220228826 133767033714710 200650550572065 401301101144130