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31420273492048 = 2477927733713803
BaseRepresentation
bin1110010010011100110100…
…01111011000000001010000
311010020202012212211122202211
413021032122033120001100
513104242210003221143
6150454135133121504
76422016445030120
oct711163217300120
9133222185748684
1031420273492048
11a014299296a51
123635562029294
13146bbc429a15c
147a8a6c310c80
153974a7bc949d
hex1c939a3d8050

31420273492048 has 160 divisors (see below), whose sum is σ = 70748060405760. Its totient is φ = 13239968002560.

The previous prime is 31420273491983. The next prime is 31420273492081. The reversal of 31420273492048 is 84029437202413.

It is a super-4 number, since 4×314202734920484 (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31420273491992 and 31420273492010.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8261968515 + ... + 8261972317.

It is an arithmetic number, because the mean of its divisors is an integer number (442175377536).

Almost surely, 231420273492048 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 31420273492048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374030202880).

31420273492048 is an abundant number, since it is smaller than the sum of its proper divisors (39327786913712).

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

31420273492048 is a wasteful number, since it uses less digits than its factorization.

31420273492048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 31420273492048 in words is "thirty-one trillion, four hundred twenty billion, two hundred seventy-three million, four hundred ninety-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 277 316 553 554 632 1106 1108 1264 1939 2212 2216 3371 3803 3878 4424 4432 6742 7606 7756 8848 13484 15212 15512 21883 23597 26621 26968 30424 31024 43766 47194 53242 53936 60848 87532 94388 106484 153181 175064 188776 212968 266309 300437 306362 350128 377552 425936 532618 600874 612724 933767 1053431 1065236 1201748 1225448 1864163 1867534 2103059 2106862 2130472 2403496 2450896 3728326 3735068 4206118 4213724 4260944 4806992 6536369 7374017 7456652 7470136 8412236 8427448 12819913 13072738 14748034 14913304 14940272 16824472 16854896 25639826 26145476 29496068 29826608 33648944 51279652 52290952 58992136 73767593 83221049 89739391 102559304 104581904 117984272 147535186 166442098 179478782 205118608 295070372 332884196 358957564 516373151 582547343 590140744 665768392 717915128 1012773127 1032746302 1165094686 1180281488 1331536784 1435830256 2025546254 2065492604 2330189372 3551115901 4051092508 4130985208 4660378744 7089411889 7102231802 8102185016 8261970416 9320757488 14178823778 14204463604 16204370032 24857811307 28357647556 28408927208 49715622614 56715295112 56817854416 99431245228 113430590224 198862490456 280538156179 397724980912 561076312358 1122152624716 1963767093253 2244305249432 3927534186506 4488610498864 7855068373012 15710136746024 31420273492048