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104534001440 = 25511407914561
BaseRepresentation
bin110000101011010110…
…1100100011100100000
3100222211011011110221222
41201112231210130200
53203041201021230
6120004450234212
710360310231411
oct1412655443440
9328734143858
10104534001440
114037279a530
1218314285968
139b1bc5c62b
1450b929b808
152abc2e26e5
hex1856b64720

104534001440 has 96 divisors (see below), whose sum is σ = 269497186560. Its totient is φ = 38000435200.

The previous prime is 104534001437. The next prime is 104534001461. The reversal of 104534001440 is 44100435401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7171760 + ... + 7186320.

It is an arithmetic number, because the mean of its divisors is an integer number (2807262360).

Almost surely, 2104534001440 is an apocalyptic number.

104534001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104534001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134748593280).

104534001440 is an abundant number, since it is smaller than the sum of its proper divisors (164963185120).

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

104534001440 is a wasteful number, since it uses less digits than its factorization.

104534001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18666 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 104534001440 its reverse (44100435401), we get a palindrome (148634436841).

The spelling of 104534001440 in words is "one hundred four billion, five hundred thirty-four million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4079 8158 14561 16316 20395 29122 32632 40790 44869 58244 65264 72805 81580 89738 116488 130528 145610 160171 163160 179476 224345 232976 291220 320342 326320 358952 448690 465952 582440 640684 652640 717904 800855 897380 1164880 1281368 1435808 1601710 1794760 2329760 2562736 3203420 3589520 5125472 6406840 7179040 12813680 25627360 59394319 118788638 237577276 296971595 475154552 593943190 653337509 950309104 1187886380 1306675018 1900618208 2375772760 2613350036 3266687545 4751545520 5226700072 6533375090 9503091040 10453400144 13066750180 20906800288 26133500360 52267000720 104534001440