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1032034231040 = 2854339072053
BaseRepresentation
bin11110000010010100000…
…10001010001100000000
310122122212020110222020112
433001022002022030000
5113402101230343130
62110035431130452
7134363525136431
oct17011202121400
93578766428215
101032034231040
113687574668aa
12148022213a28
1376421c31a37
1437d44adb488
151bca3c65495
hexf04a08a300

1032034231040 has 144 divisors (see below), whose sum is σ = 2481693640608. Its totient is φ = 411205828608.

The previous prime is 1032034231021. The next prime is 1032034231043. The reversal of 1032034231040 is 401324302301.

It is a junction number, because it is equal to n+sod(n) for n = 1032034230997 and 1032034231015.

It is not an unprimeable number, because it can be changed into a prime (1032034231043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502694654 + ... + 502696706.

Almost surely, 21032034231040 is an apocalyptic number.

1032034231040 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 1032034231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240846820304).

1032034231040 is an abundant number, since it is smaller than the sum of its proper divisors (1449659409568).

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

1032034231040 is an equidigital number, since it uses as much as digits as its factorization.

1032034231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1032034231040 its reverse (401324302301), we get a palindrome (1433358533341).

The spelling of 1032034231040 in words is "one trillion, thirty-two billion, thirty-four million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 433 640 866 907 1280 1732 1814 2053 2165 3464 3628 4106 4330 4535 6928 7256 8212 8660 9070 10265 13856 14512 16424 17320 18140 20530 27712 29024 32848 34640 36280 41060 55424 58048 65696 69280 72560 82120 110848 116096 131392 138560 145120 164240 232192 262784 277120 290240 328480 392731 525568 554240 580480 656960 785462 888949 1160960 1313920 1570924 1777898 1862071 1963655 2627840 3141848 3555796 3724142 3927310 4444745 6283696 7111592 7448284 7854620 8889490 9310355 12567392 14223184 14896568 15709240 17778980 18620710 25134784 28446368 29793136 31418480 35557960 37241420 50269568 56892736 59586272 62836960 71115920 74482840 100539136 113785472 119172544 125673920 142231840 148965680 227570944 238345088 251347840 284463680 297931360 476690176 502695680 568927360 595862720 806276743 1137854720 1191725440 1612553486 2383450880 3225106972 4031383715 6450213944 8062767430 12900427888 16125534860 25800855776 32251069720 51601711552 64502139440 103203423104 129004278880 206406846208 258008557760 516017115520 1032034231040