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1135413455000 = 23541140151481
BaseRepresentation
bin10000100001011011111…
…010100110100010011000
311000112200220201200022012
4100201123322212202120
5122100311321030000
62225333550445052
7145013414062016
oct20413372464230
94015626650265
101135413455000
113a8587327980
12164073803788
13830b8871886
143cd5087b8b6
151e8049a1735
hex1085bea6898

1135413455000 has 160 divisors (see below), whose sum is σ = 2909410503120. Its totient is φ = 411840000000.

The previous prime is 1135413454969. The next prime is 1135413455051. The reversal of 1135413455000 is 5543145311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22029260 + ... + 22080740.

Almost surely, 21135413455000 is an apocalyptic number.

1135413455000 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 1135413455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454705251560).

1135413455000 is an abundant number, since it is smaller than the sum of its proper divisors (1773997048120).

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

1135413455000 is a wasteful number, since it uses less digits than its factorization.

1135413455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51919 (or 51900 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 1135413455000 in words is "one trillion, one hundred thirty-five billion, four hundred thirteen million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 401 440 500 550 625 802 1000 1100 1250 1375 1604 2005 2200 2500 2750 3208 4010 4411 5000 5500 6875 8020 8822 10025 11000 13750 16040 17644 20050 22055 27500 35288 40100 44110 50125 51481 55000 80200 88220 100250 102962 110275 176440 200500 205924 220550 250625 257405 401000 411848 441100 501250 514810 551375 566291 882200 1002500 1029620 1102750 1132582 1287025 2005000 2059240 2205500 2265164 2574050 2756875 2831455 4411000 4530328 5148100 5513750 5662910 6435125 10296200 11027500 11325820 12870250 14157275 20643881 22055000 22651640 25740500 28314550 32175625 41287762 51481000 56629100 64351250 70786375 82575524 103219405 113258200 128702500 141572750 165151048 206438810 227082691 257405000 283145500 353931875 412877620 454165382 516097025 566291000 707863750 825755240 908330764 1032194050 1135413455 1415727500 1816661528 2064388100 2270826910 2580485125 2831455000 4128776200 4541653820 5160970250 5677067275 9083307640 10321940500 11354134550 12902425625 20643881000 22708269100 25804851250 28385336375 45416538200 51609702500 56770672750 103219405000 113541345500 141926681875 227082691000 283853363750 567706727500 1135413455000