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1023050044240 = 245779157147293
BaseRepresentation
bin11101110001100101000…
…10001101001101010000
310121210200010010222212021
432320302202031031100
5113230201302403430
62101552132541224
7133625063616130
oct16706242151520
93553603128767
101023050044240
11364967096334
12146335481814
137561c82a283
1437731840ac0
151b92a15e07a
hexee3288d350

1023050044240 has 160 divisors (see below), whose sum is σ = 2770352686080. Its totient is φ = 344111818752.

The previous prime is 1023050044207. The next prime is 1023050044253. The reversal of 1023050044240 is 424400503201.

It is a happy number.

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, 6872034 + ... + 7019326.

It is an arithmetic number, because the mean of its divisors is an integer number (17314704288).

Almost surely, 21023050044240 is an apocalyptic number.

1023050044240 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 1023050044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385176343040).

1023050044240 is an abundant number, since it is smaller than the sum of its proper divisors (1747302641840).

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

1023050044240 is a wasteful number, since it uses less digits than its factorization.

1023050044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147549 (or 147543 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1023050044240 its reverse (424400503201), we get a palindrome (1447450547441).

The spelling of 1023050044240 in words is "one trillion, twenty-three billion, fifty million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 157 158 280 314 316 395 553 560 628 632 785 790 1099 1106 1256 1264 1570 1580 2198 2212 2512 2765 3140 3160 4396 4424 5495 5530 6280 6320 8792 8848 10990 11060 12403 12560 17584 21980 22120 24806 43960 44240 49612 62015 86821 87920 99224 124030 147293 173642 198448 248060 294586 347284 434105 496120 589172 694568 736465 868210 992240 1031051 1178344 1389136 1472930 1736420 2062102 2356688 2945860 3472840 4124204 5155255 5891720 6945680 8248408 10310510 11636147 11783440 16496816 20621020 23125001 23272294 41242040 46250002 46544588 58180735 81453029 82484080 92500004 93089176 115625005 116361470 161875007 162906058 185000008 186178352 231250010 232722940 323750014 325812116 370000016 407265145 462500020 465445880 647500028 651624232 809375035 814530290 925000040 930891760 1295000056 1303248464 1618750070 1629060580 1826875079 1850000080 2590000112 3237500140 3258121160 3653750158 6475000280 6516242320 7307500316 9134375395 12788125553 12950000560 14615000632 18268750790 25576251106 29230001264 36537501580 51152502212 63940627765 73075003160 102305004424 127881255530 146150006320 204610008848 255762511060 511525022120 1023050044240