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40155453300 = 223524125712703
BaseRepresentation
bin100101011001011100…
…111001011101110100
310211122111120101100010
4211121130321131310
51124214244001200
630240330420220
72621042502264
oct453134713564
9124574511303
1040155453300
1116036785446
127947b91670
133a2c340671
141d2d0b57a4
1510a0492150
hex959739774

40155453300 has 144 divisors (see below), whose sum is σ = 119489352192. Its totient is φ = 10405478400.

The previous prime is 40155453253. The next prime is 40155453307. The reversal of 40155453300 is 335455104.

It is a super-2 number, since 2×401554533002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40155453307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3154749 + ... + 3167451.

It is an arithmetic number, because the mean of its divisors is an integer number (829787168).

Almost surely, 240155453300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40155453300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59744676096).

40155453300 is an abundant number, since it is smaller than the sum of its proper divisors (79333898892).

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

40155453300 is a wasteful number, since it uses less digits than its factorization.

40155453300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 40155453300 in words is "forty billion, one hundred fifty-five million, four hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 257 300 410 492 514 615 771 820 1025 1028 1230 1285 1542 2050 2460 2570 3075 3084 3855 4100 5140 6150 6425 7710 10537 12300 12703 12850 15420 19275 21074 25406 25700 31611 38109 38550 42148 50812 52685 63222 63515 76218 77100 105370 126444 127030 152436 158055 190545 210740 254060 263425 316110 317575 381090 520823 526850 632220 635150 762180 790275 952725 1041646 1053700 1270300 1562469 1580550 1905450 2083292 2604115 3124938 3161100 3264671 3810900 5208230 6249876 6529342 7812345 9794013 10416460 13020575 13058684 15624690 16323355 19588026 26041150 31249380 32646710 39061725 39176052 48970065 52082300 65293420 78123450 81616775 97940130 133851511 156246900 163233550 195880260 244850325 267703022 326467100 401554533 489700650 535406044 669257555 803109066 979401300 1338515110 1606218132 2007772665 2677030220 3346287775 4015545330 6692575550 8031090660 10038863325 13385151100 20077726650 40155453300