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146225102610405 = 357135471013193327
BaseRepresentation
bin100001001111110110101111…
…010011000101111111100101
3201011201222112211001111211010
4201033312233103011333211
5123131223002232013110
61234554515040132433
742541262233312320
oct4117665723057745
9634658484044733
10146225102610405
1142656799385605
12144974a3007119
136378c77941890
1428174930157b7
1511d89b55d9020
hex84fdaf4c5fe5

146225102610405 has 128 divisors (see below), whose sum is σ = 288763658846208. Its totient is φ = 61529856740352.

The previous prime is 146225102610341. The next prime is 146225102610439. The reversal of 146225102610405 is 504016201522641.

It is not a de Polignac number, because 146225102610405 - 26 = 146225102610341 is a prime.

It is a super-2 number, since 2×1462251026104052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 756264852 + ... + 756458178.

It is an arithmetic number, because the mean of its divisors is an integer number (2255966084736).

Almost surely, 2146225102610405 is an apocalyptic number.

146225102610405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146225102610405 is a deficient number, since it is larger than the sum of its proper divisors (142538556235803).

146225102610405 is a wasteful number, since it uses less digits than its factorization.

146225102610405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194915.

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 146225102610405 in words is "one hundred forty-six trillion, two hundred twenty-five billion, one hundred two million, six hundred ten thousand, four hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 547 1013 1365 1641 2735 3039 3829 5065 7091 7111 8205 11487 13169 15195 19145 21273 21333 35455 35555 39507 49777 57435 65845 92183 106365 106665 149331 193327 197535 248885 276549 460915 554111 579981 746655 966635 1353289 1382745 1662333 2513251 2770555 2899905 3878777 4059867 6766445 7203443 7539753 8311665 11636331 12566255 17592757 19393885 20299335 21610329 36017215 37698765 50424101 52778271 58181655 87963785 105749869 108051645 151272303 195840251 252120505 263891355 317249607 528749345 587520753 740249083 756361515 979201255 1370881757 1374748297 1586248035 2220747249 2545923263 2937603765 3701245415 4112645271 4124244891 6854408785 6873741485 7637769789 9623238079 11103736245 12729616315 17821462841 20563226355 20621224455 28869714237 38188848945 48116190395 53464388523 89107314205 107124617297 144348571185 267321942615 321373851891 535623086485 749872321079 1392620024861 1606869259455 2249616963237 3749361605395 4177860074583 6963100124305 9748340174027 11248084816185 20889300372915 29245020522081 48741700870135 146225102610405