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1020234122440 = 2351319162163703
BaseRepresentation
bin11101101100010101011…
…00010100010011001000
310121112101212111100100021
432312022230110103020
5113203414413404230
62100404501550224
7133465231645441
oct16661254242310
93545355440307
101020234122440
11363751623635
1214588a415374
1375291316c60
14375458742c8
151b812d2bc7a
hexed8ab144c8

1020234122440 has 128 divisors (see below), whose sum is σ = 2603862777600. Its totient is φ = 356649661440.

The previous prime is 1020234122423. The next prime is 1020234122491. The reversal of 1020234122440 is 442214320201.

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, 15983629 + ... + 16047331.

It is an arithmetic number, because the mean of its divisors is an integer number (20342677950).

Almost surely, 21020234122440 is an apocalyptic number.

1020234122440 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 1020234122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301931388800).

1020234122440 is an abundant number, since it is smaller than the sum of its proper divisors (1583628655160).

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

1020234122440 is a wasteful number, since it uses less digits than its factorization.

1020234122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65367 (or 65363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1020234122440 its reverse (442214320201), we get a palindrome (1462448442641).

The spelling of 1020234122440 in words is "one trillion, twenty billion, two hundred thirty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1621 1976 2470 3242 4940 6484 8105 9880 12968 16210 21073 30799 32420 42146 61598 63703 64840 84292 105365 123196 127406 153995 168584 210730 246392 254812 307990 318515 400387 421460 509624 615980 637030 800774 828139 842920 1210357 1231960 1274060 1601548 1656278 2001935 2420714 2548120 3203096 3312556 4003870 4140695 4841428 6051785 6625112 8007740 8281390 9682856 12103570 15734641 16015480 16562780 24207140 31469282 33125560 48414280 62938564 78673205 103262563 125877128 157346410 206525126 314692820 413050252 516312815 629385640 826100504 1032625630 1342413319 1961988697 2065251260 2684826638 3923977394 4130502520 5369653276 6712066595 7847954788 9809943485 10739306552 13424133190 15695909576 19619886970 25505853061 26848266380 39239773940 51011706122 53696532760 78479547880 102023412244 127529265305 204046824488 255058530610 510117061220 1020234122440