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201042020440 = 235377311231657
BaseRepresentation
bin1011101100111100001…
…0011100100001011000
3201012220222000210211001
42323033002130201120
511243213224123230
6232205112114344
720345002656322
oct2731702344130
9635828023731
10201042020440
1178296a85618
1232b686959b4
1315c5c17c711
149a3264a612
155369ba60ca
hex2ecf09c858

201042020440 has 128 divisors (see below), whose sum is σ = 471637863360. Its totient is φ = 77056303104.

The previous prime is 201042020381. The next prime is 201042020471. The reversal of 201042020440 is 44020240102.

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, 121328092 + ... + 121329748.

Almost surely, 2201042020440 is an apocalyptic number.

201042020440 is a gapful number since it is divisible by the number (20) 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 201042020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235818931680).

201042020440 is an abundant number, since it is smaller than the sum of its proper divisors (270595842920).

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

201042020440 is a wasteful number, since it uses less digits than its factorization.

201042020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 201042020440 its reverse (44020240102), we get a palindrome (245062260542).

The spelling of 201042020440 in words is "two hundred one billion, forty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 73 74 146 148 185 292 296 365 370 584 730 740 1123 1460 1480 1657 2246 2701 2920 3314 4492 5402 5615 6628 8285 8984 10804 11230 13256 13505 16570 21608 22460 27010 33140 41551 44920 54020 61309 66280 81979 83102 108040 120961 122618 163958 166204 207755 241922 245236 306545 327916 332408 409895 415510 483844 490472 604805 613090 655832 819790 831020 967688 1209610 1226180 1639580 1662040 1860811 2419220 2452360 3033223 3279160 3721622 4475557 4838440 6066446 7443244 8951114 9304055 12132892 14886488 15166115 17902228 18608110 22377785 24265784 30332230 35804456 37216220 44755570 60664460 68850007 74432440 89511140 121328920 135839203 137700014 179022280 271678406 275400028 344250035 543356812 550800056 679196015 688500070 1086713624 1358392030 1377000140 2716784060 2754000280 5026050511 5433568120 10052101022 20104202044 25130252555 40208404088 50260505110 100521010220 201042020440