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10233441171740 = 22531411313073087
BaseRepresentation
bin1001010011101010100010…
…1000000011100100011100
31100020022022002222110220002
42110322220220003210130
52320131041414443430
633433102235313432
72104225132512653
oct224725050034434
940208262873802
1010233441171740
113295a83835536
1211933868ab878
1359301774c587
142754306a219a
1512b2de17c845
hex94ea8a0391c

10233441171740 has 96 divisors (see below), whose sum is σ = 22897996627968. Its totient is φ = 3835211328000.

The previous prime is 10233441171721. The next prime is 10233441171827. The reversal of 10233441171740 is 4717114433201.

It is a junction number, because it is equal to n+sod(n) for n = 10233441171694 and 10233441171703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793477 + ... + 4866563.

It is an arithmetic number, because the mean of its divisors is an integer number (238520798208).

Almost surely, 210233441171740 is an apocalyptic number.

10233441171740 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 10233441171740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448998313984).

10233441171740 is an abundant number, since it is smaller than the sum of its proper divisors (12664555456228).

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

10233441171740 is a wasteful number, since it uses less digits than its factorization.

10233441171740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073299 (or 3073297 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 10233441171740 in words is "ten trillion, two hundred thirty-three billion, four hundred forty-one million, one hundred seventy-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 131 155 164 205 262 310 410 524 620 655 820 1271 1310 2542 2620 4061 5084 5371 6355 8122 10742 12710 16244 20305 21484 25420 26855 40610 53710 81220 107420 166501 333002 666004 832505 1665010 3073087 3330020 6146174 12292348 15365435 30730870 61461740 95265697 125996567 190531394 251993134 381062788 402574397 476328485 503986268 629982835 805148794 952656970 1259965670 1610297588 1905313940 2012871985 2519931340 3905893577 4025743970 7811787154 8051487940 12479806307 15623574308 16505550277 19529467885 24959612614 33011100554 39058935770 49919225228 62399031535 66022201108 78117871540 82527751385 124798063070 165055502770 249596126140 330111005540 511672058587 1023344117174 2046688234348 2558360292935 5116720585870 10233441171740