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1040017011240 = 233529881339223
BaseRepresentation
bin11110010001001011101…
…10000011001000101000
310200102110120111020000110
433020211312003020220
5114014423323324430
62113435513534320
7135065406510204
oct17104566031050
93612416436013
101040017011240
11371083542809
1214968b7143a0
13770c4a2600c
14384a0da1b04
151c0be9ad7b0
hexf225d83228

1040017011240 has 128 divisors (see below), whose sum is σ = 3231312134400. Its totient is φ = 267469762560.

The previous prime is 1040017011179. The next prime is 1040017011251. The reversal of 1040017011240 is 421107100401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2896269 + ... + 3235491.

It is an arithmetic number, because the mean of its divisors is an integer number (25244626050).

Almost surely, 21040017011240 is an apocalyptic number.

1040017011240 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 1040017011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615656067200).

1040017011240 is an abundant number, since it is smaller than the sum of its proper divisors (2191295123160).

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

1040017011240 is a wasteful number, since it uses less digits than its factorization.

1040017011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340147 (or 340143 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 1040017011240 in words is "one trillion, forty billion, seventeen million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 881 1160 1740 1762 2643 3480 3524 4405 5286 7048 8810 10572 13215 17620 21144 25549 26430 35240 51098 52860 76647 102196 105720 127745 153294 204392 255490 306588 339223 383235 510980 613176 678446 766470 1017669 1021960 1356892 1532940 1696115 2035338 2713784 3065880 3392230 4070676 5088345 6784460 8141352 9837467 10176690 13568920 19674934 20353380 29512401 39349868 40706760 49187335 59024802 78699736 98374670 118049604 147562005 196749340 236099208 295124010 298855463 393498680 590248020 597710926 896566389 1180496040 1195421852 1494277315 1793132778 2390843704 2988554630 3586265556 4482831945 5977109260 7172531112 8666808427 8965663890 11954218520 17333616854 17931327780 26000425281 34667233708 35862655560 43334042135 52000850562 69334467416 86668084270 104001701124 130002126405 173336168540 208003402248 260004252810 346672337080 520008505620 1040017011240